456255621 has 36 divisors (see below), whose sum is σ = 691164292. Its totient is φ = 289764864.

The previous prime is 456255619. The next prime is 456255629. The reversal of 456255621 is 126552654.

456255621 is a `hidden beast` number, since 4 + 5 + 6 + 25 + 5 + 621 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53450721 + 402804900 = 7311^2 + 20070^2 .

It is not a de Polignac number, because 456255621 - 2¹ = 456255619 is a prime.

Its product of digits (72000) is a multiple of the sum of its prime divisors (250).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456255629) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3330265 + ... + 3330401.

Almost surely, 2^456255621 is an apocalyptic number.

It is an amenable number.

456255621 is a deficient number, since it is larger than the sum of its proper divisors (234908671).

456255621 is a wasteful number, since it uses less digits than its factorization.

456255621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 250 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 456255621 is about 21360.1409405462. The cubic root of 456255621 is about 769.8440236154.

The spelling of 456255621 in words is "four hundred fifty-six million, two hundred fifty-five thousand, six hundred twenty-one".