457875 has 48 divisors (see below), whose sum is σ = 924768. Its totient is φ = 216000.

The previous prime is 457871. The next prime is 457889. The reversal of 457875 is 578754.

It is not a de Polignac number, because 457875 - 2² = 457871 is a prime.

Its product of digits (39200) is a multiple of the sum of its prime divisors (56).

457875 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12357 + ... + 12393.

It is an arithmetic number, because the mean of its divisors is an integer number (19266).

2⁴⁵⁷⁸⁷⁵ is an apocalyptic number.

457875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

457875 is an abundant number, since it is smaller than the sum of its proper divisors (466893).

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

457875 is a wasteful number, since it uses less digits than its factorization.

457875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 56 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 457875 is about 676.6646141184. The cubic root of 457875 is about 77.0753745537.

The spelling of 457875 in words is "four hundred fifty-seven thousand, eight hundred seventy-five".