457866864 has 320 divisors, whose sum is σ = 1705446400. Its totient is φ = 114213888.

The previous prime is 457866863. The next prime is 457866901. The reversal of 457866864 is 468668754.

457866864 is a `hidden beast` number, since 4 + 578 + 6 + 6 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 457866864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457866863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746622 + ... + 747234.

It is an arithmetic number, because the mean of its divisors is an integer number (5329520).

Almost surely, 2^457866864 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 457866864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852723200).

457866864 is an abundant number, since it is smaller than the sum of its proper divisors (1247579536).

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

457866864 is a wasteful number, since it uses less digits than its factorization.

457866864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 457866864 is about 21397.8238145845. The cubic root of 457866864 is about 770.7491803245.

It can be divided in two parts, 45786 and 6864, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 457866864 in words is "four hundred fifty-seven million, eight hundred sixty-six thousand, eight hundred sixty-four".