975026304 has 288 divisors, whose sum is σ = 3410259840. Its totient is φ = 266112000.

The previous prime is 975026303. The next prime is 975026309. The reversal of 975026304 is 403620579.

975026304 is a `hidden beast` number, since 97 + 502 + 63 + 0 + 4 = 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 not an unprimeable number, because it can be changed into a prime (975026303) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1297929 + ... + 1298679.

It is an arithmetic number, because the mean of its divisors is an integer number (11841180).

Almost surely, 2^975026304 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 975026304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705129920).

975026304 is an abundant number, since it is smaller than the sum of its proper divisors (2435233536).

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

975026304 is a wasteful number, since it uses less digits than its factorization.

975026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 975026304 is about 31225.4111902470. The cubic root of 975026304 is about 991.6051585072.

The spelling of 975026304 in words is "nine hundred seventy-five million, twenty-six thousand, three hundred four".