220465296 has 60 divisors (see below), whose sum is σ = 619130512. Its totient is φ = 73234368.

The previous prime is 220465291. The next prime is 220465307. The reversal of 220465296 is 692564022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220465296.

It is not an unprimeable number, because it can be changed into a prime (220465291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41715 + ... + 46701.

Almost surely, 2^220465296 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 220465296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309565256).

220465296 is an abundant number, since it is smaller than the sum of its proper divisors (398665216).

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

220465296 is a wasteful number, since it uses less digits than its factorization.

220465296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 220465296 is about 14848.0738144717. The cubic root of 220465296 is about 604.1063654907.

The spelling of 220465296 in words is "two hundred twenty million, four hundred sixty-five thousand, two hundred ninety-six".