457583520 has 96 divisors (see below), whose sum is σ = 1444359168. Its totient is φ = 121771008.

The previous prime is 457583519. The next prime is 457583531. The reversal of 457583520 is 25385754.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420417 + ... + 421503.

It is an arithmetic number, because the mean of its divisors is an integer number (15045408).

Almost surely, 2^457583520 is an apocalyptic number.

457583520 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 457583520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722179584).

457583520 is an abundant number, since it is smaller than the sum of its proper divisors (986775648).

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

457583520 is a wasteful number, since it uses less digits than its factorization.

457583520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 457583520 is about 21391.2019297654. The cubic root of 457583520 is about 770.5901586838.

It can be divided in two parts, 45 and 7583520, that added together give a triangular number (7583565 = T₃₈₉₄).

The spelling of 457583520 in words is "four hundred fifty-seven million, five hundred eighty-three thousand, five hundred twenty".