456505638 has 8 divisors (see below), whose sum is σ = 913011288. Its totient is φ = 152168544.

The previous prime is 456505627. The next prime is 456505657. The reversal of 456505638 is 836505654.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

456505638 is an admirable number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456505638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38042131 + ... + 38042142.

It is an arithmetic number, because the mean of its divisors is an integer number (114126411).

Almost surely, 2^456505638 is an apocalyptic number.

456505638 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

456505638 is a wasteful number, since it uses less digits than its factorization.

456505638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76084278.

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 456505638 is about 21365.9925582689. The cubic root of 456505638 is about 769.9846165477.

The spelling of 456505638 in words is "four hundred fifty-six million, five hundred five thousand, six hundred thirty-eight".