220855440 has 160 divisors (see below), whose sum is σ = 748452096. Its totient is φ = 53544960.

The previous prime is 220855429. The next prime is 220855451. The reversal of 220855440 is 44558022.

220855440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220855429) and next prime (220855451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220855398 and 220855407.

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, 221022 + ... + 222018.

Almost surely, 2^220855440 is an apocalyptic number.

220855440 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 220855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374226048).

220855440 is an abundant number, since it is smaller than the sum of its proper divisors (527596656).

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

220855440 is a wasteful number, since it uses less digits than its factorization.

220855440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 220855440 is about 14861.2058730104. The cubic root of 220855440 is about 604.4625055677.

The spelling of 220855440 in words is "two hundred twenty million, eight hundred fifty-five thousand, four hundred forty".