975735480 has 128 divisors (see below), whose sum is σ = 2992204800. Its totient is φ = 254487552.

The previous prime is 975735437. The next prime is 975735493. The reversal of 975735480 is 84537579.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099597 + ... + 1100483.

It is an arithmetic number, because the mean of its divisors is an integer number (23376600).

Almost surely, 2^975735480 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 975735480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496102400).

975735480 is an abundant number, since it is smaller than the sum of its proper divisors (2016469320).

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

975735480 is a wasteful number, since it uses less digits than its factorization.

975735480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 975735480 is about 31236.7648773044. The cubic root of 975735480 is about 991.8455117339.

The spelling of 975735480 in words is "nine hundred seventy-five million, seven hundred thirty-five thousand, four hundred eighty".