456398064 has 100 divisors (see below), whose sum is σ = 1328004040. Its totient is φ = 151320960.

The previous prime is 456398051. The next prime is 456398149. The reversal of 456398064 is 460893654.

456398064 is a `hidden beast` number, since 4 + 5 + 639 + 8 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 272622 + ... + 274290.

Almost surely, 2^456398064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456398064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664002020).

456398064 is an abundant number, since it is smaller than the sum of its proper divisors (871605976).

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

456398064 is a wasteful number, since it uses less digits than its factorization.

456398064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 456398064 is about 21363.4749982300. The cubic root of 456398064 is about 769.9241303782.

The spelling of 456398064 in words is "four hundred fifty-six million, three hundred ninety-eight thousand, sixty-four".