813830472 has 192 divisors, whose sum is σ = 2729825280. Its totient is φ = 213290496.

The previous prime is 813830467. The next prime is 813830473. The reversal of 813830472 is 274038318.

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

It is not an unprimeable number, because it can be changed into a prime (813830473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460818 + ... + 1461374.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^813830472 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 813830472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

813830472 is an abundant number, since it is smaller than the sum of its proper divisors (1915994808).

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

813830472 is a wasteful number, since it uses less digits than its factorization.

813830472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 813830472 is about 28527.7141040077. The cubic root of 813830472 is about 933.6368449408.

The spelling of 813830472 in words is "eight hundred thirteen million, eight hundred thirty thousand, four hundred seventy-two".