457300120 has 64 divisors (see below), whose sum is σ = 1048451040. Its totient is φ = 179481600.

The previous prime is 457300097. The next prime is 457300157. The reversal of 457300120 is 21003754.

It is a junction number, because it is equal to n+sod(n) for n = 457300091 and 457300100.

It is a congruent number.

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, 600540 + ... + 601300.

Almost surely, 2^457300120 is an apocalyptic number.

457300120 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 457300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524225520).

457300120 is an abundant number, since it is smaller than the sum of its proper divisors (591150920).

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

457300120 is a wasteful number, since it uses less digits than its factorization.

457300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 457300120 is about 21384.5766850784. The cubic root of 457300120 is about 770.4310399351.

Adding to 457300120 its reverse (21003754), we get a palindrome (478303874).

The spelling of 457300120 in words is "four hundred fifty-seven million, three hundred thousand, one hundred twenty".