456041064 has 16 divisors (see below), whose sum is σ = 1140102720. Its totient is φ = 152013680.

The previous prime is 456041041. The next prime is 456041071. The reversal of 456041064 is 460140654.

It is a super-3 number, since 3×456041064³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9500832 + ... + 9500879.

It is an arithmetic number, because the mean of its divisors is an integer number (71256420).

Almost surely, 2^456041064 is an apocalyptic number.

It is an amenable number.

456041064 is an abundant number, since it is smaller than the sum of its proper divisors (684061656).

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

456041064 is a wasteful number, since it uses less digits than its factorization.

456041064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19001720 (or 19001716 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 456041064 is about 21355.1179814114. The cubic root of 456041064 is about 769.7233300722.

The spelling of 456041064 in words is "four hundred fifty-six million, forty-one thousand, sixty-four".