462400464004264 has 16 divisors (see below), whose sum is σ = 867003502082400. Its totient is φ = 231199530115632.

The previous prime is 462400464004249. The next prime is 462400464004291.

462400464004264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462400464004264² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84930652 + ... + 90210955.

It is an arithmetic number, because the mean of its divisors is an integer number (54187718880150).

Almost surely, 2^{462400464004264} is an apocalyptic number.

It is an amenable number.

462400464004264 is a deficient number, since it is larger than the sum of its proper divisors (404603038078136).

462400464004264 is a wasteful number, since it uses less digits than its factorization.

462400464004264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175471632 (or 175471628 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 46.

The spelling of 462400464004264 in words is "four hundred sixty-two trillion, four hundred billion, four hundred sixty-four million, four thousand, two hundred sixty-four".