462904882608 has 160 divisors (see below), whose sum is σ = 1411794337792. Its totient is φ = 127898092800.

The previous prime is 462904882597. The next prime is 462904882619. The reversal of 462904882608 is 806288409264.

It is an interprime number because it is at equal distance from previous prime (462904882597) and next prime (462904882619).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14806353 + ... + 14837583.

Almost surely, 2^462904882608 is an apocalyptic number.

462904882608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462904882608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705897168896).

462904882608 is an abundant number, since it is smaller than the sum of its proper divisors (948889455184).

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

462904882608 is a wasteful number, since it uses less digits than its factorization.

462904882608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32703 (or 32697 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 462904882608 in words is "four hundred sixty-two billion, nine hundred four million, eight hundred eighty-two thousand, six hundred eight".