457980 has 48 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 114688.

The previous prime is 457979. The next prime is 457981. The reversal of 457980 is 89754.

It is an interprime number because it is at equal distance from previous prime (457979) and next prime (457981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁴⁵⁷⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

457980 is an abundant number, since it is smaller than the sum of its proper divisors (902820).

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

457980 is a wasteful number, since it uses less digits than its factorization.

457980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 457980 is about 676.7421961131. The cubic root of 457980 is about 77.0812657509.

The spelling of 457980 in words is "four hundred fifty-seven thousand, nine hundred eighty".