422400 has 120 divisors (see below), whose sum is σ = 1522224. Its totient is φ = 102400.

The previous prime is 422393. The next prime is 422407. The reversal of 422400 is 4224.

It is an interprime number because it is at equal distance from previous prime (422393) and next prime (422407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (422407) by changing a digit.

422400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38395 + ... + 38405.

2⁴²²⁴⁰⁰ is an apocalyptic number.

422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761112).

422400 is an abundant number, since it is smaller than the sum of its proper divisors (1099824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422400 is a wasteful number, since it uses less digits than its factorization.

422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 422400 is about 649.9230723709. The cubic root of 422400 is about 75.0310982147.

Adding to 422400 its reverse (4224), we get a palindrome (426624).

Multiplying 422400 by its reverse (4224), we get a square (1784217600 = 42240²).

422400 divided by its reverse (4224) gives a square (100 = 10²).

It can be divided in two parts, 42 and 2400, that added together give a palindrome (2442).

The spelling of 422400 in words is "four hundred twenty-two thousand, four hundred", and thus it is an iban number.