456582066 has 16 divisors (see below), whose sum is σ = 916142304. Its totient is φ = 151697664.

The previous prime is 456582059. The next prime is 456582067. The reversal of 456582066 is 660285654.

It is not an unprimeable number, because it can be changed into a prime (456582067) 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 7 ways as a sum of consecutive naturals, for example, 122095 + ... + 125778.

It is an arithmetic number, because the mean of its divisors is an integer number (57258894).

Almost surely, 2^456582066 is an apocalyptic number.

456582066 is an abundant number, since it is smaller than the sum of its proper divisors (459560238).

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

456582066 is a wasteful number, since it uses less digits than its factorization.

456582066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248185.

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 456582066 is about 21367.7810265830. The cubic root of 456582066 is about 770.0275843269.

The spelling of 456582066 in words is "four hundred fifty-six million, five hundred eighty-two thousand, sixty-six".