462400968 has 32 divisors (see below), whose sum is σ = 1169935200. Its totient is φ = 152275968.

The previous prime is 462400957. The next prime is 462400997. The reversal of 462400968 is 869004264.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114073 + ... + 118056.

It is an arithmetic number, because the mean of its divisors is an integer number (36560475).

Almost surely, 2^462400968 is an apocalyptic number.

It is an amenable number.

462400968 is an abundant number, since it is smaller than the sum of its proper divisors (707534232).

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

462400968 is a wasteful number, since it uses less digits than its factorization.

462400968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232221 (or 232217 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 462400968 is about 21503.5105971095. The cubic root of 462400968 is about 773.2849862429.

The spelling of 462400968 in words is "four hundred sixty-two million, four hundred thousand, nine hundred sixty-eight".