975456000 has 288 divisors, whose sum is σ = 3603163200. Its totient is φ = 259891200.

The previous prime is 975455963. The next prime is 975456017. The reversal of 975456000 is 654579.

975456000 is a `hidden beast` number, since 9 + 7 + 5 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863436 + ... + 864564.

Almost surely, 2^975456000 is an apocalyptic number.

975456000 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 975456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801581600).

975456000 is an abundant number, since it is smaller than the sum of its proper divisors (2627707200).

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

975456000 is a wasteful number, since it uses less digits than its factorization.

975456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 975456000 is about 31232.2909822510. The cubic root of 975456000 is about 991.7508045584.

The spelling of 975456000 in words is "nine hundred seventy-five million, four hundred fifty-six thousand".