457284 has 24 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 149344.

The previous prime is 457279. The next prime is 457307. The reversal of 457284 is 482754.

457284 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁴⁵⁷²⁸⁴ is an apocalyptic number.

It is an amenable number.

457284 is an abundant number, since it is smaller than the sum of its proper divisors (631356).

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

457284 is a wasteful number, since it uses less digits than its factorization.

457284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 457284 is about 676.2277722780. The cubic root of 457284 is about 77.0421987168.

It can be divided in two parts, 4572 and 84, that added together give a triangular number (4656 = T₉₆).

The spelling of 457284 in words is "four hundred fifty-seven thousand, two hundred eighty-four".