972460992 has 56 divisors (see below), whose sum is σ = 2601925200. Its totient is φ = 320505856.

The previous prime is 972460969. The next prime is 972461003. The reversal of 972460992 is 299064279.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11367 + ... + 45542.

It is an arithmetic number, because the mean of its divisors is an integer number (46462950).

Almost surely, 2^972460992 is an apocalyptic number.

It is an amenable number.

972460992 is an abundant number, since it is smaller than the sum of its proper divisors (1629464208).

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

972460992 is a wasteful number, since it uses less digits than its factorization.

972460992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57013 (or 57003 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 972460992 is about 31184.3068225029. The cubic root of 972460992 is about 990.7347509513.

It can be divided in two parts, 972 and 460992, that multiplied together give a square (448084224 = 21168²).

The spelling of 972460992 in words is "nine hundred seventy-two million, four hundred sixty thousand, nine hundred ninety-two".