813718464 has 224 divisors, whose sum is σ = 2490679296. Its totient is φ = 232243200.

The previous prime is 813718459. The next prime is 813718489. The reversal of 813718464 is 464817318.

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, 5388789 + ... + 5388939.

It is an arithmetic number, because the mean of its divisors is an integer number (11119104).

Almost surely, 2^813718464 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 813718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245339648).

813718464 is an abundant number, since it is smaller than the sum of its proper divisors (1676960832).

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

813718464 is a wasteful number, since it uses less digits than its factorization.

813718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 813718464 is about 28525.7508928337. The cubic root of 813718464 is about 933.5940106335.

The spelling of 813718464 in words is "eight hundred thirteen million, seven hundred eighteen thousand, four hundred sixty-four".