457283120 has 80 divisors (see below), whose sum is σ = 1219231488. Its totient is φ = 156245760.

The previous prime is 457283117. The next prime is 457283129. The reversal of 457283120 is 21382754.

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

It is not an unprimeable number, because it can be changed into a prime (457283129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184127 + ... + 186593.

Almost surely, 2^457283120 is an apocalyptic number.

457283120 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 457283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609615744).

457283120 is an abundant number, since it is smaller than the sum of its proper divisors (761948368).

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

457283120 is a wasteful number, since it uses less digits than its factorization.

457283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 457283120 is about 21384.1791986506. The cubic root of 457283120 is about 770.4214929662.

The spelling of 457283120 in words is "four hundred fifty-seven million, two hundred eighty-three thousand, one hundred twenty".