422400000 has 312 divisors, whose sum is σ = 1535714208. Its totient is φ = 102400000.

The previous prime is 422399981. The next prime is 422400047. The reversal of 422400000 is 4224.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38399995 + ... + 38400005.

Almost surely, 2^422400000 is an apocalyptic number.

422400000 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 422400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767857104).

422400000 is an abundant number, since it is smaller than the sum of its proper divisors (1113314208).

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

422400000 is an frugal number, since it uses more digits than its factorization.

422400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

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

The square root of 422400000 is about 20552.3721258642. The cubic root of 422400000 is about 750.3109821468.

Adding to 422400000 its reverse (4224), we get a palindrome (422404224).

422400000 divided by its reverse (4224) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 42 and 2400000, that added together give a palindrome (2400042).

The spelling of 422400000 in words is "four hundred twenty-two million, four hundred thousand".