457488 has 50 divisors (see below), whose sum is σ = 1327854. Its totient is φ = 152064.

The previous prime is 457469. The next prime is 457507. The reversal of 457488 is 884754.

457488 is a `hidden beast` number, since 4 + 574 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (457469) and next prime (457507).

It can be written as a sum of positive squares in only one way, i.e., 374544 + 82944 = 612^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

457488 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 9 ways as a sum of consecutive naturals, for example, 1120 + ... + 1472.

2⁴⁵⁷⁴⁸⁸ is an apocalyptic number.

457488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663927).

457488 is an abundant number, since it is smaller than the sum of its proper divisors (870366).

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

457488 is a wasteful number, since it uses less digits than its factorization.

457488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 457488 is about 676.3785922100. The cubic root of 457488 is about 77.0536535035.

The spelling of 457488 in words is "four hundred fifty-seven thousand, four hundred eighty-eight".