457122864 has 80 divisors (see below), whose sum is σ = 1323129600. Its totient is φ = 134772480.

The previous prime is 457122833. The next prime is 457122889. The reversal of 457122864 is 468221754.

It is a super-2 number, since 2×457122864² = 417922625583124992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7837 + ... + 31235.

It is an arithmetic number, because the mean of its divisors is an integer number (16539120).

Almost surely, 2^457122864 is an apocalyptic number.

457122864 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 457122864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661564800).

457122864 is an abundant number, since it is smaller than the sum of its proper divisors (866006736).

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

457122864 is a wasteful number, since it uses less digits than its factorization.

457122864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23458 (or 23452 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 457122864 is about 21380.4318010652. The cubic root of 457122864 is about 770.3314837451.

It can be divided in two parts, 457 and 122864, that added together give a palindrome (123321).

The spelling of 457122864 in words is "four hundred fifty-seven million, one hundred twenty-two thousand, eight hundred sixty-four".