220399452 has 144 divisors (see below), whose sum is σ = 700190400. Its totient is φ = 58084992.

The previous prime is 220399451. The next prime is 220399457. The reversal of 220399452 is 254993022.

220399452 is a `hidden beast` number, since 220 + 399 + 45 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220399451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159838 + ... + 161210.

Almost surely, 2^220399452 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 220399452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350095200).

220399452 is an abundant number, since it is smaller than the sum of its proper divisors (479790948).

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

220399452 is a wasteful number, since it uses less digits than its factorization.

220399452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 220399452 is about 14845.8563915996. The cubic root of 220399452 is about 604.0462188511.

The spelling of 220399452 in words is "two hundred twenty million, three hundred ninety-nine thousand, four hundred fifty-two".