813433644 has 48 divisors (see below), whose sum is σ = 2181631200. Its totient is φ = 261793728.

The previous prime is 813433639. The next prime is 813433657. The reversal of 813433644 is 446334318.

It is a happy number.

813433644 is a `hidden beast` number, since 8 + 1 + 3 + 4 + 3 + 3 + 644 = 666.

It is a super-2 number, since 2×813433644² = 1323348586382237472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 813433599 and 813433608.

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, 126727 + ... + 132990.

It is an arithmetic number, because the mean of its divisors is an integer number (45450650).

Almost surely, 2^813433644 is an apocalyptic number.

It is an amenable number.

813433644 is an abundant number, since it is smaller than the sum of its proper divisors (1368197556).

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

813433644 is a wasteful number, since it uses less digits than its factorization.

813433644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259759 (or 259751 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 813433644 is about 28520.7581245660. The cubic root of 813433644 is about 933.4850715314.

The spelling of 813433644 in words is "eight hundred thirteen million, four hundred thirty-three thousand, six hundred forty-four".