456930630 has 48 divisors (see below), whose sum is σ = 1279409040. Its totient is φ = 112474944.

The previous prime is 456930629. The next prime is 456930631. The reversal of 456930630 is 36039654.

456930630 is a `hidden beast` number, since 4 + 569 + 30 + 63 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (456930629) and next prime (456930631).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456930631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194100 + ... + 196439.

It is an arithmetic number, because the mean of its divisors is an integer number (26654355).

Almost surely, 2^456930630 is an apocalyptic number.

456930630 is an abundant number, since it is smaller than the sum of its proper divisors (822478410).

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

456930630 is a wasteful number, since it uses less digits than its factorization.

456930630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390565 (or 390562 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 456930630 is about 21375.9357689903. The cubic root of 456930630 is about 770.2234860367.

The spelling of 456930630 in words is "four hundred fifty-six million, nine hundred thirty thousand, six hundred thirty".