975438400 has 84 divisors (see below), whose sum is σ = 2465207668. Its totient is φ = 379607040.

The previous prime is 975438377. The next prime is 975438433. The reversal of 975438400 is 4834579.

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 975437824 = 24^2 + 31232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 50962 + ... + 67438.

Almost surely, 2^975438400 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 975438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232603834).

975438400 is an abundant number, since it is smaller than the sum of its proper divisors (1489769268).

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

975438400 is a wasteful number, since it uses less digits than its factorization.

975438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16536 (or 16521 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 975438400 is about 31232.0092213101. The cubic root of 975438400 is about 991.7448398543.

The spelling of 975438400 in words is "nine hundred seventy-five million, four hundred thirty-eight thousand, four hundred".