220480920 has 256 divisors, whose sum is σ = 816652800. Its totient is φ = 52462080.

The previous prime is 220480919. The next prime is 220480933. The reversal of 220480920 is 29084022.

It is a super-2 number, since 2×220480920² = 97223672168092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795822 + ... + 796098.

It is an arithmetic number, because the mean of its divisors is an integer number (3190050).

Almost surely, 2^220480920 is an apocalyptic number.

220480920 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 220480920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408326400).

220480920 is an abundant number, since it is smaller than the sum of its proper divisors (596171880).

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

220480920 is a wasteful number, since it uses less digits than its factorization.

220480920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220480920 is about 14848.5999340005. The cubic root of 220480920 is about 604.1206358166.

The spelling of 220480920 in words is "two hundred twenty million, four hundred eighty thousand, nine hundred twenty".