457888 has 24 divisors (see below), whose sum is σ = 926100. Its totient is φ = 222720.

The previous prime is 457871. The next prime is 457889. The reversal of 457888 is 888754.

It can be written as a sum of positive squares in 2 ways, for example, as 446224 + 11664 = 668^2 + 108^2 .

It is a super-2 number, since 2×457888² = 419322841088, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 457888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457889) by changing a digit.

457888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1138 + ... + 1486.

2⁴⁵⁷⁸⁸⁸ 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 457888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463050).

457888 is an abundant number, since it is smaller than the sum of its proper divisors (468212).

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

457888 is a wasteful number, since it uses less digits than its factorization.

457888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 71680, while the sum is 40.

The square root of 457888 is about 676.6742199907. The cubic root of 457888 is about 77.0761039888.

It can be divided in two parts, 45788 and 8, that added together give a square (45796 = 214²).

The spelling of 457888 in words is "four hundred fifty-seven thousand, eight hundred eighty-eight".