218440264 has 64 divisors (see below), whose sum is σ = 495360000. Its totient is φ = 88216128.

The previous prime is 218440253. The next prime is 218440279. The reversal of 218440264 is 462044812.

It is a super-2 number, since 2×218440264² = 95432297872779392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253867 + ... + 254725.

It is an arithmetic number, because the mean of its divisors is an integer number (7740000).

Almost surely, 2^218440264 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 218440264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247680000).

218440264 is an abundant number, since it is smaller than the sum of its proper divisors (276919736).

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

218440264 is a wasteful number, since it uses less digits than its factorization.

218440264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 218440264 is about 14779.7247606307. The cubic root of 218440264 is about 602.2510477819.

The spelling of 218440264 in words is "two hundred eighteen million, four hundred forty thousand, two hundred sixty-four".