220451328 has 160 divisors (see below), whose sum is σ = 671742720. Its totient is φ = 71331840.

The previous prime is 220451267. The next prime is 220451347. The reversal of 220451328 is 823154022.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 511273 + ... + 511703.

It is an arithmetic number, because the mean of its divisors is an integer number (4198392).

Almost surely, 2^220451328 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 220451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335871360).

220451328 is an abundant number, since it is smaller than the sum of its proper divisors (451291392).

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

220451328 is an equidigital number, since it uses as much as digits as its factorization.

220451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 220451328 is about 14847.6034429803. The cubic root of 220451328 is about 604.0936071169.

The spelling of 220451328 in words is "two hundred twenty million, four hundred fifty-one thousand, three hundred twenty-eight".