220291456 has 192 divisors, whose sum is σ = 580469760. Its totient is φ = 82252800.

The previous prime is 220291441. The next prime is 220291471. The reversal of 220291456 is 654192022.

It is an interprime number because it is at equal distance from previous prime (220291441) and next prime (220291471).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2138701 + ... + 2138803.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^220291456 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 220291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290234880).

220291456 is an abundant number, since it is smaller than the sum of its proper divisors (360178304).

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

220291456 is a wasteful number, since it uses less digits than its factorization.

220291456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 220291456 is about 14842.2187020674. The cubic root of 220291456 is about 603.9475416043.

The spelling of 220291456 in words is "two hundred twenty million, two hundred ninety-one thousand, four hundred fifty-six".