457841664 has 264 divisors, whose sum is σ = 1553230848. Its totient is φ = 127180800.

The previous prime is 457841653. The next prime is 457841669. The reversal of 457841664 is 466148754.

457841664 is a `hidden beast` number, since 4 + 578 + 4 + 16 + 64 = 666.

Its product of digits (645120) is a multiple of the sum of its prime divisors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457841669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031989 + ... + 3032139.

Almost surely, 2^457841664 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 457841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776615424).

457841664 is an abundant number, since it is smaller than the sum of its proper divisors (1095389184).

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

457841664 is a wasteful number, since it uses less digits than its factorization.

457841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 457841664 is about 21397.2349615552. The cubic root of 457841664 is about 770.7350399435.

The spelling of 457841664 in words is "four hundred fifty-seven million, eight hundred forty-one thousand, six hundred sixty-four".