220457988 has 144 divisors (see below), whose sum is σ = 624099840. Its totient is φ = 65318400.

The previous prime is 220457983. The next prime is 220457999. The reversal of 220457988 is 889754022.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (220457981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784408 + ... + 784688.

Almost surely, 2^220457988 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 220457988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312049920).

220457988 is an abundant number, since it is smaller than the sum of its proper divisors (403641852).

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

220457988 is a wasteful number, since it uses less digits than its factorization.

220457988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 220457988 is about 14847.8277199057. The cubic root of 220457988 is about 604.0996904294.

It can be divided in two parts, 220457 and 988, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 220457988 in words is "two hundred twenty million, four hundred fifty-seven thousand, nine hundred eighty-eight".