218407072 has 24 divisors (see below), whose sum is σ = 463065876. Its totient is φ = 100803072.

The previous prime is 218407061. The next prime is 218407087. The reversal of 218407072 is 270704812.

It can be written as a sum of positive squares in 2 ways, for example, as 213043216 + 5363856 = 14596^2 + 2316^2 .

It is a super-2 number, since 2×218407072² = 95403298199226368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262093 + ... + 262924.

Almost surely, 2^218407072 is an apocalyptic number.

It is an amenable number.

218407072 is an abundant number, since it is smaller than the sum of its proper divisors (244658804).

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

218407072 is a wasteful number, since it uses less digits than its factorization.

218407072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525040 (or 525032 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 218407072 is about 14778.6018283192. The cubic root of 218407072 is about 602.2205422194.

The spelling of 218407072 in words is "two hundred eighteen million, four hundred seven thousand, seventy-two".