813934464 has 128 divisors (see below), whose sum is σ = 2601081600. Its totient is φ = 220299264.

The previous prime is 813934447. The next prime is 813934489. The reversal of 813934464 is 464439318.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43104 + ... + 59040.

It is an arithmetic number, because the mean of its divisors is an integer number (20320950).

Almost surely, 2^813934464 is an apocalyptic number.

813934464 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 813934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300540800).

813934464 is an abundant number, since it is smaller than the sum of its proper divisors (1787147136).

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

813934464 is a wasteful number, since it uses less digits than its factorization.

813934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15980 (or 15968 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 813934464 is about 28529.5366944505. The cubic root of 813934464 is about 933.6766102364.

The spelling of 813934464 in words is "eight hundred thirteen million, nine hundred thirty-four thousand, four hundred sixty-four".