975258144 has 576 divisors, whose sum is σ = 3698472960. Its totient is φ = 246343680.

The previous prime is 975258061. The next prime is 975258157. The reversal of 975258144 is 441852579.

975258144 is a `hidden beast` number, since 9 + 7 + 525 + 81 + 44 = 666.

It is a super-2 number, since 2×975258144² = 1902256894876649472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 975258144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23786764 + ... + 23786804.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^975258144 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 975258144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

975258144 is an abundant number, since it is smaller than the sum of its proper divisors (2723214816).

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

975258144 is a wasteful number, since it uses less digits than its factorization.

975258144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 975258144 is about 31229.1233306348. The cubic root of 975258144 is about 991.6837463088.

It can be divided in two parts, 9752 and 58144, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 975258144 in words is "nine hundred seventy-five million, two hundred fifty-eight thousand, one hundred forty-four".