813504384 has 320 divisors, whose sum is σ = 3021321600. Its totient is φ = 211092480.

The previous prime is 813504359. The next prime is 813504397. The reversal of 813504384 is 483405318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 797827 + ... + 798845.

It is an arithmetic number, because the mean of its divisors is an integer number (9441630).

Almost surely, 2^813504384 is an apocalyptic number.

813504384 is a gapful number since it is divisible by the number (84) 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 813504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510660800).

813504384 is an abundant number, since it is smaller than the sum of its proper divisors (2207817216).

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

813504384 is a wasteful number, since it uses less digits than its factorization.

813504384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 813504384 is about 28521.9982469672. The cubic root of 813504384 is about 933.5121308252.

It can be divided in two parts, 81 and 3504384, that multiplied together give a square (283855104 = 16848²).

The spelling of 813504384 in words is "eight hundred thirteen million, five hundred four thousand, three hundred eighty-four".