457120 has 24 divisors (see below), whose sum is σ = 1080324. Its totient is φ = 182784.

The previous prime is 457117. The next prime is 457139. The reversal of 457120 is 21754.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 144 = 676^2 + 12^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1269 + ... + 1588.

2⁴⁵⁷¹²⁰ is an apocalyptic number.

457120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457120 is an abundant number, since it is smaller than the sum of its proper divisors (623204).

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

457120 is a wasteful number, since it uses less digits than its factorization.

457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 457120 is about 676.1065004864. The cubic root of 457120 is about 77.0329874962.

Adding to 457120 its reverse (21754), we get a palindrome (478874).

It can be divided in two parts, 45 and 7120, that multiplied together give a triangular number (320400 = T₈₀₀).

The spelling of 457120 in words is "four hundred fifty-seven thousand, one hundred twenty".