976461000 has 64 divisors (see below), whose sum is σ = 3046567680. Its totient is φ = 260388800.

The previous prime is 976460993. The next prime is 976461023. The reversal of 976461000 is 164679.

It is a happy number.

976461000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159744 + ... + 165743.

It is an arithmetic number, because the mean of its divisors is an integer number (47602620).

Almost surely, 2^976461000 is an apocalyptic number.

It is an amenable number.

976461000 is an abundant number, since it is smaller than the sum of its proper divisors (2070106680).

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

976461000 is a wasteful number, since it uses less digits than its factorization.

976461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325511 (or 325497 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 976461000 is about 31248.3759577998. The cubic root of 976461000 is about 992.0912837651.

The spelling of 976461000 in words is "nine hundred seventy-six million, four hundred sixty-one thousand".