813238272 has 384 divisors, whose sum is σ = 3019161600. Its totient is φ = 210124800.

The previous prime is 813238267. The next prime is 813238273. The reversal of 813238272 is 272832318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×813238272² = 1322712974091091968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813238273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257697 + ... + 4257887.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^813238272 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 813238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

813238272 is an abundant number, since it is smaller than the sum of its proper divisors (2205923328).

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

813238272 is a wasteful number, since it uses less digits than its factorization.

813238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

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

The square root of 813238272 is about 28517.3328346113. The cubic root of 813238272 is about 933.4103301558.

The spelling of 813238272 in words is "eight hundred thirteen million, two hundred thirty-eight thousand, two hundred seventy-two".