456531006 has 16 divisors (see below), whose sum is σ = 913507200. Its totient is φ = 152102808.

The previous prime is 456531001. The next prime is 456531011. The reversal of 456531006 is 600135654.

It is an interprime number because it is at equal distance from previous prime (456531001) and next prime (456531011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456531001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4386 + ... + 30533.

It is an arithmetic number, because the mean of its divisors is an integer number (57094200).

Almost surely, 2^456531006 is an apocalyptic number.

456531006 is an abundant number, since it is smaller than the sum of its proper divisors (456976194).

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

456531006 is a wasteful number, since it uses less digits than its factorization.

456531006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37103.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 456531006 is about 21366.5862036966. The cubic root of 456531006 is about 769.9988789549.

The spelling of 456531006 in words is "four hundred fifty-six million, five hundred thirty-one thousand, six".