220374464 has 56 divisors (see below), whose sum is σ = 464271360. Its totient is φ = 103493376.

The previous prime is 220374461. The next prime is 220374487. The reversal of 220374464 is 464473022.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 220374464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220374461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153719 + ... + 155145.

It is an arithmetic number, because the mean of its divisors is an integer number (8290560).

Almost surely, 2^220374464 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 220374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232135680).

220374464 is an abundant number, since it is smaller than the sum of its proper divisors (243896896).

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

220374464 is a wasteful number, since it uses less digits than its factorization.

220374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 220374464 is about 14845.0147861159. The cubic root of 220374464 is about 604.0233898812.

It can be divided in two parts, 2203 and 74464, that added together give a palindrome (76667).

The spelling of 220374464 in words is "two hundred twenty million, three hundred seventy-four thousand, four hundred sixty-four".