457548 has 48 divisors (see below), whose sum is σ = 1317120. Its totient is φ = 120384.

The previous prime is 457547. The next prime is 457553. The reversal of 457548 is 845754.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (457547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2⁴⁵⁷⁵⁴⁸ 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 457548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560).

457548 is an abundant number, since it is smaller than the sum of its proper divisors (859572).

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

457548 is a wasteful number, since it uses less digits than its factorization.

457548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its digits is 22400, while the sum is 33.

The square root of 457548 is about 676.4229446138. The cubic root of 457548 is about 77.0570219103.

The spelling of 457548 in words is "four hundred fifty-seven thousand, five hundred forty-eight".