456053660 has 48 divisors (see below), whose sum is σ = 1023769152. Its totient is φ = 170227200.

The previous prime is 456053627. The next prime is 456053677. The reversal of 456053660 is 66350654.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 456053660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6770 + ... + 30950.

It is an arithmetic number, because the mean of its divisors is an integer number (21328524).

Almost surely, 2^456053660 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 456053660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511884576).

456053660 is an abundant number, since it is smaller than the sum of its proper divisors (567715492).

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

456053660 is a wasteful number, since it uses less digits than its factorization.

456053660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24254 (or 24252 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 456053660 is about 21355.4128969683. The cubic root of 456053660 is about 769.7304166751.

The spelling of 456053660 in words is "four hundred fifty-six million, fifty-three thousand, six hundred sixty".