462406642224 has 40 divisors (see below), whose sum is σ = 1257421573440. Its totient is φ = 146023149888.

The previous prime is 462406642213. The next prime is 462406642253. The reversal of 462406642224 is 422246604264.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253511502 + ... + 253513325.

It is an arithmetic number, because the mean of its divisors is an integer number (31435539336).

Almost surely, 2^462406642224 is an apocalyptic number.

It is an amenable number.

462406642224 is an abundant number, since it is smaller than the sum of its proper divisors (795014931216).

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

462406642224 is a wasteful number, since it uses less digits than its factorization.

462406642224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507024857 (or 507024851 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 462406642224 in words is "four hundred sixty-two billion, four hundred six million, six hundred forty-two thousand, two hundred twenty-four".