457938 has 48 divisors (see below), whose sum is σ = 1135680. Its totient is φ = 132192.

The previous prime is 457913. The next prime is 457943. The reversal of 457938 is 839754.

457938 = 117² + 118² + ... + 143².

457938 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4⁹ + 5⁷ + 9 + 7⁶ + 3 + 8 .

Its product of digits (30240) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is an unprimeable number.

457938 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 23 ways as a sum of consecutive naturals, for example, 4395 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (23660).

2⁴⁵⁷⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567840).

457938 is an abundant number, since it is smaller than the sum of its proper divisors (677742).

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

457938 is a wasteful number, since it uses less digits than its factorization.

457938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 457938 is about 676.7111643826. The cubic root of 457938 is about 77.0789093801.

The spelling of 457938 in words is "four hundred fifty-seven thousand, nine hundred thirty-eight".