925984800 has 324 divisors, whose sum is σ = 3540394494. Its totient is φ = 227635200.

The previous prime is 925984799. The next prime is 925984811. The reversal of 925984800 is 8489529.

It can be written as a sum of positive squares in 9 ways, for example, as 218211984 + 707772816 = 14772^2 + 26604^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216420 + ... + 1217180.

Almost surely, 2^925984800 is an apocalyptic number.

925984800 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 925984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770197247).

925984800 is an abundant number, since it is smaller than the sum of its proper divisors (2614409694).

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

925984800 is a wasteful number, since it uses less digits than its factorization.

925984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 925984800 is about 30429.9983568846. The cubic root of 925984800 is about 974.6932368269.

The spelling of 925984800 in words is "nine hundred twenty-five million, nine hundred eighty-four thousand, eight hundred".