4022400 has 96 divisors (see below), whose sum is σ = 13280400. Its totient is φ = 1070080.

The previous prime is 4022383. The next prime is 4022407. The reversal of 4022400 is 42204.

It is a tau number, because it is divible by the number of its divisors (96).

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 (4022407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9391 + ... + 9809.

Almost surely, 2^4022400 is an apocalyptic number.

4022400 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 4022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640200).

4022400 is an abundant number, since it is smaller than the sum of its proper divisors (9258000).

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

4022400 is a wasteful number, since it uses less digits than its factorization.

4022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

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

The square root of 4022400 is about 2005.5921818755. The cubic root of 4022400 is about 159.0358686532.

Adding to 4022400 its reverse (42204), we get a palindrome (4064604).

The spelling of 4022400 in words is "four million, twenty-two thousand, four hundred".