456249006 has 96 divisors (see below), whose sum is σ = 1049368320. Its totient is φ = 143119872.

The previous prime is 456248959. The next prime is 456249019. The reversal of 456249006 is 600942654.

456249006 is a `hidden beast` number, since 4 + 562 + 4 + 90 + 0 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4429551 + ... + 4429653.

It is an arithmetic number, because the mean of its divisors is an integer number (10930920).

Almost surely, 2^456249006 is an apocalyptic number.

456249006 is an abundant number, since it is smaller than the sum of its proper divisors (593119314).

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

456249006 is a wasteful number, since it uses less digits than its factorization.

456249006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 456249006 is about 21359.9860955011. The cubic root of 456249006 is about 769.8403030820.

The spelling of 456249006 in words is "four hundred fifty-six million, two hundred forty-nine thousand, six".