923504400 has 360 divisors, whose sum is σ = 3945789120. Its totient is φ = 194780160.

The previous prime is 923504369. The next prime is 923504401. The reversal of 923504400 is 4405329.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (923504401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326191 + ... + 329009.

Almost surely, 2^923504400 is an apocalyptic number.

923504400 is a gapful number since it is divisible by the number (90) 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 923504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972894560).

923504400 is an abundant number, since it is smaller than the sum of its proper divisors (3022284720).

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

923504400 is a wasteful number, since it uses less digits than its factorization.

923504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 923504400 is about 30389.2151922356. The cubic root of 923504400 is about 973.8221674555.

Adding to 923504400 its reverse (4405329), we get a palindrome (927909729).

The spelling of 923504400 in words is "nine hundred twenty-three million, five hundred four thousand, four hundred".