463883504 has 160 divisors (see below), whose sum is σ = 1143545856. Its totient is φ = 177914880.

The previous prime is 463883491. The next prime is 463883551. The reversal of 463883504 is 405388364.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2954594 + ... + 2954750.

Almost surely, 2^463883504 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 463883504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571772928).

463883504 is an abundant number, since it is smaller than the sum of its proper divisors (679662352).

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

463883504 is a wasteful number, since it uses less digits than its factorization.

463883504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 463883504 is about 21537.9549632736. The cubic root of 463883504 is about 774.1105322363.

The spelling of 463883504 in words is "four hundred sixty-three million, eight hundred eighty-three thousand, five hundred four".