974954880 has 192 divisors, whose sum is σ = 3491888400. Its totient is φ = 259946496.

The previous prime is 974954839. The next prime is 974954891. The reversal of 974954880 is 88459479.

974954880 is a `hidden beast` number, since 9 + 74 + 95 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152386 + ... + 158654.

Almost surely, 2^974954880 is an apocalyptic number.

974954880 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 974954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745944200).

974954880 is an abundant number, since it is smaller than the sum of its proper divisors (2516933520).

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

974954880 is an equidigital number, since it uses as much as digits as its factorization.

974954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 974954880 is about 31224.2674854031. The cubic root of 974954880 is about 991.5809450968.

The spelling of 974954880 in words is "nine hundred seventy-four million, nine hundred fifty-four thousand, eight hundred eighty".