456615006 has 8 divisors (see below), whose sum is σ = 913230024. Its totient is φ = 152205000.

The previous prime is 456615001. The next prime is 456615013. The reversal of 456615006 is 600516654.

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

456615006 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456615001) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38051245 + ... + 38051256.

It is an arithmetic number, because the mean of its divisors is an integer number (114153753).

Almost surely, 2^456615006 is an apocalyptic number.

456615006 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.

456615006 is a wasteful number, since it uses less digits than its factorization.

456615006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76102506.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 456615006 is about 21368.5517993148. The cubic root of 456615006 is about 770.0461016980.

The spelling of 456615006 in words is "four hundred fifty-six million, six hundred fifteen thousand, six".