220901408 has 72 divisors (see below), whose sum is σ = 544869612. Its totient is φ = 87381504.

The previous prime is 220901389. The next prime is 220901423. The reversal of 220901408 is 804109022.

It can be written as a sum of positive squares in 2 ways, for example, as 195216784 + 25684624 = 13972^2 + 5068^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14966 + ... + 25802.

Almost surely, 2^220901408 is an apocalyptic number.

220901408 is a gapful number since it is divisible by the number (28) 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 220901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272434806).

220901408 is an abundant number, since it is smaller than the sum of its proper divisors (323968204).

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

220901408 is a wasteful number, since it uses less digits than its factorization.

220901408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10874 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 220901408 is about 14862.7523695983. The cubic root of 220901408 is about 604.5044394906.

The spelling of 220901408 in words is "two hundred twenty million, nine hundred one thousand, four hundred eight".