456511220 has 144 divisors (see below), whose sum is σ = 1114876224. Its totient is φ = 156710400.

The previous prime is 456511219. The next prime is 456511247. The reversal of 456511220 is 22115654.

It is a self number, because there is not a number n which added to its sum of digits gives 456511220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4266407 + ... + 4266513.

It is an arithmetic number, because the mean of its divisors is an integer number (7742196).

Almost surely, 2^456511220 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 456511220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557438112).

456511220 is an abundant number, since it is smaller than the sum of its proper divisors (658365004).

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

456511220 is a wasteful number, since it uses less digits than its factorization.

456511220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 456511220 is about 21366.1231860158. The cubic root of 456511220 is about 769.9877549073.

Adding to 456511220 its reverse (22115654), we get a palindrome (478626874).

The spelling of 456511220 in words is "four hundred fifty-six million, five hundred eleven thousand, two hundred twenty".