456583825 has 6 divisors (see below), whose sum is σ = 566163974. Its totient is φ = 365267040.

The previous prime is 456583823. The next prime is 456583871. The reversal of 456583825 is 528385654.

It can be written as a sum of positive squares in 3 ways, for example, as 37112464 + 419471361 = 6092^2 + 20481^2 .

It is not a de Polignac number, because 456583825 - 2¹ = 456583823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456583823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9131652 + ... + 9131701.

Almost surely, 2^456583825 is an apocalyptic number.

It is an amenable number.

456583825 is a deficient number, since it is larger than the sum of its proper divisors (109580149).

456583825 is a wasteful number, since it uses less digits than its factorization.

456583825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18263363 (or 18263358 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 46.

The square root of 456583825 is about 21367.8221866432. The cubic root of 456583825 is about 770.0285731793.

The spelling of 456583825 in words is "four hundred fifty-six million, five hundred eighty-three thousand, eight hundred twenty-five".