457520 has 80 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 145152.

The previous prime is 457517. The next prime is 457547. The reversal of 457520 is 25754.

It is a tau number, because it is divible by the number of its divisors (80).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10619 + ... + 10661.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2⁴⁵⁷⁵²⁰ is an apocalyptic number.

457520 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 457520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

457520 is an abundant number, since it is smaller than the sum of its proper divisors (851920).

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

457520 is a wasteful number, since it uses less digits than its factorization.

457520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 457520 is about 676.4022471873. The cubic root of 457520 is about 77.0554500238.

The spelling of 457520 in words is "four hundred fifty-seven thousand, five hundred twenty".