813457944 has 256 divisors, whose sum is σ = 2607360000. Its totient is φ = 232906752.

The previous prime is 813457927. The next prime is 813457979. The reversal of 813457944 is 449754318.

813457944 is a `hidden beast` number, since 8 + 1 + 34 + 579 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 813457944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4214712 + ... + 4214904.

It is an arithmetic number, because the mean of its divisors is an integer number (10185000).

Almost surely, 2^813457944 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 813457944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303680000).

813457944 is an abundant number, since it is smaller than the sum of its proper divisors (1793902056).

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

813457944 is a wasteful number, since it uses less digits than its factorization.

813457944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 813457944 is about 28521.1841268907. The cubic root of 813457944 is about 933.4943668855.

The spelling of 813457944 in words is "eight hundred thirteen million, four hundred fifty-seven thousand, nine hundred forty-four".