975262464 has 288 divisors, whose sum is σ = 3202375680. Its totient is φ = 290304000.

The previous prime is 975262441. The next prime is 975262493. The reversal of 975262464 is 464262579.

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

It is a super-2 number, since 2×975262464² = 1902273747374702592, which contains 22 as substring.

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, 7679169 + ... + 7679295.

It is an arithmetic number, because the mean of its divisors is an integer number (11119360).

Almost surely, 2^975262464 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 975262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601187840).

975262464 is an abundant number, since it is smaller than the sum of its proper divisors (2227113216).

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

975262464 is a wasteful number, since it uses less digits than its factorization.

975262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 975262464 is about 31229.1924967649. The cubic root of 975262464 is about 991.6852105596.

The spelling of 975262464 in words is "nine hundred seventy-five million, two hundred sixty-two thousand, four hundred sixty-four".