975478400 has 192 divisors, whose sum is σ = 2629519200. Its totient is φ = 355430400.

The previous prime is 975478367. The next prime is 975478453. The reversal of 975478400 is 4874579.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5449511 + ... + 5449689.

Almost surely, 2^975478400 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 975478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314759600).

975478400 is an abundant number, since it is smaller than the sum of its proper divisors (1654040800).

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

975478400 is a wasteful number, since it uses less digits than its factorization.

975478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 975478400 is about 31232.6495834087. The cubic root of 975478400 is about 991.7583958961.

The spelling of 975478400 in words is "nine hundred seventy-five million, four hundred seventy-eight thousand, four hundred".