213708456 has 160 divisors (see below), whose sum is σ = 673263360. Its totient is φ = 62840448.

The previous prime is 213708427. The next prime is 213708487. The reversal of 213708456 is 654807312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213708456.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193201 + ... + 194303.

It is an arithmetic number, because the mean of its divisors is an integer number (4207896).

Almost surely, 2^213708456 is an apocalyptic number.

213708456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213708456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336631680).

213708456 is an abundant number, since it is smaller than the sum of its proper divisors (459554904).

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

213708456 is a wasteful number, since it uses less digits than its factorization.

213708456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 213708456 is about 14618.7706733501. The cubic root of 213708456 is about 597.8706520685.

The spelling of 213708456 in words is "two hundred thirteen million, seven hundred eight thousand, four hundred fifty-six".