456940224 has 112 divisors (see below), whose sum is σ = 1446723040. Its totient is φ = 140590080.

The previous prime is 456940181. The next prime is 456940259. The reversal of 456940224 is 422049654.

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

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, 12294 + ... + 32634.

It is an arithmetic number, because the mean of its divisors is an integer number (12917170).

Almost surely, 2^456940224 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 456940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723361520).

456940224 is an abundant number, since it is smaller than the sum of its proper divisors (989782816).

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

456940224 is a wasteful number, since it uses less digits than its factorization.

456940224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20375 (or 20359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 456940224 is about 21376.1601790406. The cubic root of 456940224 is about 770.2288766963.

Adding to 456940224 its reverse (422049654), we get a palindrome (878989878).

The spelling of 456940224 in words is "four hundred fifty-six million, nine hundred forty thousand, two hundred twenty-four".