457080 has 64 divisors (see below), whose sum is σ = 1481760. Its totient is φ = 112128.

The previous prime is 457057. The next prime is 457087. The reversal of 457080 is 80754.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 457080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457087) by changing a digit.

457080 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 15 ways as a sum of consecutive naturals, for example, 1414 + ... + 1706.

2⁴⁵⁷⁰⁸⁰ is an apocalyptic number.

457080 is a gapful number since it is divisible by the number (40) 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 457080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740880).

457080 is an abundant number, since it is smaller than the sum of its proper divisors (1024680).

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

457080 is a wasteful number, since it uses less digits than its factorization.

457080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 457080 is about 676.0769187008. The cubic root of 457080 is about 77.0307405229.

The spelling of 457080 in words is "four hundred fifty-seven thousand, eighty".