457273120 has 96 divisors (see below), whose sum is σ = 1136757888. Its totient is φ = 173488128.

The previous prime is 457273111. The next prime is 457273127. The reversal of 457273120 is 21372754.

It is not an unprimeable number, because it can be changed into a prime (457273127) by changing a digit.

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, 503707 + ... + 504613.

It is an arithmetic number, because the mean of its divisors is an integer number (11841228).

Almost surely, 2^457273120 is an apocalyptic number.

457273120 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 457273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568378944).

457273120 is an abundant number, since it is smaller than the sum of its proper divisors (679484768).

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

457273120 is a wasteful number, since it uses less digits than its factorization.

457273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 457273120 is about 21383.9453796534. The cubic root of 457273120 is about 770.4158769917.

The spelling of 457273120 in words is "four hundred fifty-seven million, two hundred seventy-three thousand, one hundred twenty".