220472960 has 64 divisors (see below), whose sum is σ = 554839200. Its totient is φ = 83543040.

The previous prime is 220472957. The next prime is 220472969. The reversal of 220472960 is 69274022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (220472969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3095 + ... + 21225.

Almost surely, 2^220472960 is an apocalyptic number.

220472960 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 220472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277419600).

220472960 is an abundant number, since it is smaller than the sum of its proper divisors (334366240).

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

220472960 is a wasteful number, since it uses less digits than its factorization.

220472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18169 (or 18157 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 220472960 is about 14848.3318928424. The cubic root of 220472960 is about 604.1133655607.

The spelling of 220472960 in words is "two hundred twenty million, four hundred seventy-two thousand, nine hundred sixty".