462759968 has 24 divisors (see below), whose sum is σ = 993882960. Its totient is φ = 210345280.

The previous prime is 462759967. The next prime is 462760007. The reversal of 462759968 is 869957264.

It is a happy number.

It is a super-2 number, since 2×462759968² = 428293575966722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (462759967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 656978 + ... + 657681.

It is an arithmetic number, because the mean of its divisors is an integer number (41411790).

Almost surely, 2^462759968 is an apocalyptic number.

It is an amenable number.

462759968 is an abundant number, since it is smaller than the sum of its proper divisors (531122992).

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

462759968 is a wasteful number, since it uses less digits than its factorization.

462759968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314680 (or 1314672 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The square root of 462759968 is about 21511.8564517338. The cubic root of 462759968 is about 773.4850561077.

The spelling of 462759968 in words is "four hundred sixty-two million, seven hundred fifty-nine thousand, nine hundred sixty-eight".