462653856 has 240 divisors, whose sum is σ = 1593877824. Its totient is φ = 128894976.

The previous prime is 462653803. The next prime is 462653923. The reversal of 462653856 is 658356264.

462653856 is a `hidden beast` number, since 4 + 6 + 265 + 385 + 6 = 666.

Its product of digits (1036800) is a multiple of the sum of its prime divisors (648).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779896 + ... + 780488.

Almost surely, 2^462653856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462653856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796938912).

462653856 is an abundant number, since it is smaller than the sum of its proper divisors (1131223968).

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

462653856 is a wasteful number, since it uses less digits than its factorization.

462653856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 462653856 is about 21509.3899495081. The cubic root of 462653856 is about 773.4259309123.

The spelling of 462653856 in words is "four hundred sixty-two million, six hundred fifty-three thousand, eight hundred fifty-six".