813506480 has 20 divisors (see below), whose sum is σ = 1891402752. Its totient is φ = 325402560.

The previous prime is 813506471. The next prime is 813506509. The reversal of 813506480 is 84605318.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 813506480.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5084336 + ... + 5084495.

Almost surely, 2^813506480 is an apocalyptic number.

813506480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813506480 is an abundant number, since it is smaller than the sum of its proper divisors (1077896272).

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

813506480 is a wasteful number, since it uses less digits than its factorization.

813506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10168844 (or 10168838 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 813506480 is about 28522.0349905122. The cubic root of 813506480 is about 933.5129325581.

The spelling of 813506480 in words is "eight hundred thirteen million, five hundred six thousand, four hundred eighty".