623578400 has 72 divisors (see below), whose sum is σ = 1527870960. Its totient is φ = 248520960.

The previous prime is 623578399. The next prime is 623578429. The reversal of 623578400 is 4875326.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244331 + ... + 246869.

It is an arithmetic number, because the mean of its divisors is an integer number (21220430).

Almost surely, 2^623578400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 623578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763935480).

623578400 is an abundant number, since it is smaller than the sum of its proper divisors (904292560).

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

623578400 is a wasteful number, since it uses less digits than its factorization.

623578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 623578400 is about 24971.5518140143. The cubic root of 623578400 is about 854.3392407475.

The spelling of 623578400 in words is "six hundred twenty-three million, five hundred seventy-eight thousand, four hundred".