457009120 has 48 divisors (see below), whose sum is σ = 1084881168. Its totient is φ = 181923840.

The previous prime is 457009093. The next prime is 457009141. The reversal of 457009120 is 21900754.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26992 + ... + 40528.

It is an arithmetic number, because the mean of its divisors is an integer number (22601691).

Almost surely, 2^457009120 is an apocalyptic number.

457009120 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 457009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542440584).

457009120 is an abundant number, since it is smaller than the sum of its proper divisors (627872048).

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

457009120 is a wasteful number, since it uses less digits than its factorization.

457009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 457009120 is about 21377.7716331708. The cubic root of 457009120 is about 770.2675856412.

Adding to 457009120 its reverse (21900754), we get a palindrome (478909874).

The spelling of 457009120 in words is "four hundred fifty-seven million, nine thousand, one hundred twenty".