457752064 has 160 divisors (see below), whose sum is σ = 1209136896. Its totient is φ = 167608320.

The previous prime is 457752059. The next prime is 457752067. The reversal of 457752064 is 460257754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457752067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669867 + ... + 670549.

Almost surely, 2^457752064 is an apocalyptic number.

457752064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604568448).

457752064 is an abundant number, since it is smaller than the sum of its proper divisors (751384832).

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

457752064 is a wasteful number, since it uses less digits than its factorization.

457752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 457752064 is about 21395.1411306399. The cubic root of 457752064 is about 770.6847588308.

The spelling of 457752064 in words is "four hundred fifty-seven million, seven hundred fifty-two thousand, sixty-four".