481968504 has 48 divisors (see below), whose sum is σ = 1316905200. Its totient is φ = 159231744.

The previous prime is 481968499. The next prime is 481968511. The reversal of 481968504 is 405869184.

481968504 is a `hidden beast` number, since 4 + 81 + 9 + 68 + 504 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 481968504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21484 + ... + 37755.

It is an arithmetic number, because the mean of its divisors is an integer number (27435525).

Almost surely, 2^481968504 is an apocalyptic number.

It is an amenable number.

481968504 is an abundant number, since it is smaller than the sum of its proper divisors (834936696).

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

481968504 is a wasteful number, since it uses less digits than its factorization.

481968504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59364 (or 59357 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 481968504 is about 21953.7810866374. The cubic root of 481968504 is about 784.0424062513.

The spelling of 481968504 in words is "four hundred eighty-one million, nine hundred sixty-eight thousand, five hundred four".