813229956 has 240 divisors, whose sum is σ = 2725252992. Its totient is φ = 205286400.

The previous prime is 813229909. The next prime is 813229961. The reversal of 813229956 is 659922318.

It is a super-2 number, since 2×813229956² = 1322685922671523872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 922636 + ... + 923516.

Almost surely, 2^813229956 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 813229956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362626496).

813229956 is an abundant number, since it is smaller than the sum of its proper divisors (1912023036).

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

813229956 is a wasteful number, since it uses less digits than its factorization.

813229956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 941 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 813229956 is about 28517.1870281765. The cubic root of 813229956 is about 933.4071485271.

The spelling of 813229956 in words is "eight hundred thirteen million, two hundred twenty-nine thousand, nine hundred fifty-six".