457248 has 48 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 138240.

The previous prime is 457241. The next prime is 457253. The reversal of 457248 is 842754.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (457241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁴⁵⁷²⁴⁸ is an apocalyptic number.

457248 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 457248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

457248 is an abundant number, since it is smaller than the sum of its proper divisors (855168).

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

457248 is a wasteful number, since it uses less digits than its factorization.

457248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

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

The square root of 457248 is about 676.2011535039. The cubic root of 457248 is about 77.0401769302.

The spelling of 457248 in words is "four hundred fifty-seven thousand, two hundred forty-eight".