220273440 has 96 divisors (see below), whose sum is σ = 705329856. Its totient is φ = 57768960.

The previous prime is 220273433. The next prime is 220273463. The reversal of 220273440 is 44372022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220273440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25519 + ... + 33041.

It is an arithmetic number, because the mean of its divisors is an integer number (7347186).

Almost surely, 2^220273440 is an apocalyptic number.

220273440 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 220273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352664928).

220273440 is an abundant number, since it is smaller than the sum of its proper divisors (485056416).

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

220273440 is a wasteful number, since it uses less digits than its factorization.

220273440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7602 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 220273440 is about 14841.6117723110. The cubic root of 220273440 is about 603.9310770294.

The spelling of 220273440 in words is "two hundred twenty million, two hundred seventy-three thousand, four hundred forty".