220452456 has 64 divisors (see below), whose sum is σ = 633156480. Its totient is φ = 62657280.

The previous prime is 220452437. The next prime is 220452467. The reversal of 220452456 is 654254022.

It is a happy number.

220452456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29766 + ... + 36426.

It is an arithmetic number, because the mean of its divisors is an integer number (9893070).

Almost surely, 2^220452456 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 220452456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316578240).

220452456 is an abundant number, since it is smaller than the sum of its proper divisors (412704024).

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

220452456 is a wasteful number, since it uses less digits than its factorization.

220452456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 220452456 is about 14847.6414288600. The cubic root of 220452456 is about 604.0946374523.

It can be divided in two parts, 220 and 452456, that added together give a triangular number (452676 = T₉₅₁).

The spelling of 220452456 in words is "two hundred twenty million, four hundred fifty-two thousand, four hundred fifty-six".