457040784 has 120 divisors (see below), whose sum is σ = 1282739328. Its totient is φ = 140134400.

The previous prime is 457040741. The next prime is 457040813. The reversal of 457040784 is 487040754.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651634 + ... + 652334.

Almost surely, 2^457040784 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 457040784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641369664).

457040784 is an abundant number, since it is smaller than the sum of its proper divisors (825698544).

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

457040784 is a wasteful number, since it uses less digits than its factorization.

457040784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 457040784 is about 21378.5122026768. The cubic root of 457040784 is about 770.2853746295.

It can be divided in two parts, 4570 and 40784, that added together give a palindrome (45354).

The spelling of 457040784 in words is "four hundred fifty-seven million, forty thousand, seven hundred eighty-four".