218253456 has 120 divisors (see below), whose sum is σ = 647572640. Its totient is φ = 68428800.

The previous prime is 218253439. The next prime is 218253457. The reversal of 218253456 is 654352812.

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 218253456.

It is not an unprimeable number, because it can be changed into a prime (218253457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659211 + ... + 659541.

Almost surely, 2^218253456 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 218253456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323786320).

218253456 is an abundant number, since it is smaller than the sum of its proper divisors (429319184).

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

218253456 is a wasteful number, since it uses less digits than its factorization.

218253456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 218253456 is about 14773.4036701093. The cubic root of 218253456 is about 602.0793190629.

It can be divided in two parts, 21825 and 3456, that added together give a square (25281 = 159²).

The spelling of 218253456 in words is "two hundred eighteen million, two hundred fifty-three thousand, four hundred fifty-six".