457680 has 40 divisors (see below), whose sum is σ = 1419552. Its totient is φ = 121984.

The previous prime is 457679. The next prime is 457687. The reversal of 457680 is 86754.

It is a happy number.

457680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457687) 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, 714 + ... + 1193.

2⁴⁵⁷⁶⁸⁰ is an apocalyptic number.

457680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457680 is an abundant number, since it is smaller than the sum of its proper divisors (961872).

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

457680 is a wasteful number, since it uses less digits than its factorization.

457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 457680 is about 676.5205096669. The cubic root of 457680 is about 77.0644313689.

It can be divided in two parts, 4576 and 80, that added together give a triangular number (4656 = T₉₆).

The spelling of 457680 in words is "four hundred fifty-seven thousand, six hundred eighty".