220460520 has 128 divisors (see below), whose sum is σ = 788797440. Its totient is φ = 48195840.

The previous prime is 220460519. The next prime is 220460557. The reversal of 220460520 is 25064022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13615 + ... + 25025.

It is an arithmetic number, because the mean of its divisors is an integer number (6162480).

Almost surely, 2^220460520 is an apocalyptic number.

220460520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220460520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394398720).

220460520 is an abundant number, since it is smaller than the sum of its proper divisors (568336920).

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

220460520 is a wasteful number, since it uses less digits than its factorization.

220460520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 220460520 is about 14847.9129846588. The cubic root of 220460520 is about 604.1020031520.

The spelling of 220460520 in words is "two hundred twenty million, four hundred sixty thousand, five hundred twenty".