975094400 has 192 divisors, whose sum is σ = 2786607360. Its totient is φ = 330240000.

The previous prime is 975094397. The next prime is 975094409. The reversal of 975094400 is 4490579.

It is a super-2 number, since 2×975094400² = 1901618177822720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975094409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2262185 + ... + 2262615.

It is an arithmetic number, because the mean of its divisors is an integer number (14513580).

Almost surely, 2^975094400 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 975094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393303680).

975094400 is an abundant number, since it is smaller than the sum of its proper divisors (1811512960).

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

975094400 is a wasteful number, since it uses less digits than its factorization.

975094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 975094400 is about 31226.5015651770. The cubic root of 975094400 is about 991.6282425931.

The spelling of 975094400 in words is "nine hundred seventy-five million, ninety-four thousand, four hundred".