456410064 has 60 divisors (see below), whose sum is σ = 1296007328. Its totient is φ = 138304320.

The previous prime is 456410063. The next prime is 456410093. The reversal of 456410064 is 460014654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456410063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33484 + ... + 45099.

Almost surely, 2^456410064 is an apocalyptic number.

456410064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

456410064 is an abundant number, since it is smaller than the sum of its proper divisors (839597264).

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

456410064 is a wasteful number, since it uses less digits than its factorization.

456410064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78616 (or 78599 counting only the distinct ones).

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

The square root of 456410064 is about 21363.7558495691. The cubic root of 456410064 is about 769.9308781490.

The spelling of 456410064 in words is "four hundred fifty-six million, four hundred ten thousand, sixty-four".