813456440 has 64 divisors (see below), whose sum is σ = 1873821600. Its totient is φ = 317734912.

The previous prime is 813456439. The next prime is 813456451. The reversal of 813456440 is 44654318.

It is a super-2 number, since 2×813456440² = 1323422759554947200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813456440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294104 + ... + 296856.

Almost surely, 2^813456440 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 813456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936910800).

813456440 is an abundant number, since it is smaller than the sum of its proper divisors (1060365160).

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

813456440 is a wasteful number, since it uses less digits than its factorization.

813456440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 813456440 is about 28521.1577605118. The cubic root of 813456440 is about 933.4937915735.

The spelling of 813456440 in words is "eight hundred thirteen million, four hundred fifty-six thousand, four hundred forty".