813713472 has 448 divisors, whose sum is σ = 2918764800. Its totient is φ = 218972160.

The previous prime is 813713401. The next prime is 813713473. The reversal of 813713472 is 274317318.

It is a super-2 number, since 2×813713472² = 1324259229028589568, which contains 22 as substring.

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 (813713473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9142804 + ... + 9142892.

It is an arithmetic number, because the mean of its divisors is an integer number (6515100).

Almost surely, 2^813713472 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 813713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459382400).

813713472 is an abundant number, since it is smaller than the sum of its proper divisors (2105051328).

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

813713472 is a wasteful number, since it uses less digits than its factorization.

813713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 813713472 is about 28525.6633928117. The cubic root of 813713472 is about 933.5921014921.

It can be divided in two parts, 8137 and 13472, that added together give a square (21609 = 147²).

The spelling of 813713472 in words is "eight hundred thirteen million, seven hundred thirteen thousand, four hundred seventy-two".