22790400 has 108 divisors (see below), whose sum is σ = 75276432. Its totient is φ = 6072320.

The previous prime is 22790357. The next prime is 22790507. The reversal of 22790400 is 409722.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18607 + ... + 19793.

It is an arithmetic number, because the mean of its divisors is an integer number (697004).

Almost surely, 2^22790400 is an apocalyptic number.

22790400 is a gapful number since it is divisible by the number (20) 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 22790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37638216).

22790400 is an abundant number, since it is smaller than the sum of its proper divisors (52486032).

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

22790400 is a wasteful number, since it uses less digits than its factorization.

22790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 22790400 is about 4773.9291993074. The cubic root of 22790400 is about 283.5201843235.

The spelling of 22790400 in words is "twenty-two million, seven hundred ninety thousand, four hundred".