457731120 has 640 divisors, whose sum is σ = 1974730752. Its totient is φ = 84787200.

The previous prime is 457731061. The next prime is 457731133. The reversal of 457731120 is 21137754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9738937 + ... + 9738983.

Almost surely, 2^457731120 is an apocalyptic number.

457731120 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 457731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987365376).

457731120 is an abundant number, since it is smaller than the sum of its proper divisors (1516999632).

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

457731120 is a wasteful number, since it uses less digits than its factorization.

457731120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 457731120 is about 21394.6516681156. The cubic root of 457731120 is about 770.6730046746.

Adding to 457731120 its reverse (21137754), we get a palindrome (478868874).

The spelling of 457731120 in words is "four hundred fifty-seven million, seven hundred thirty-one thousand, one hundred twenty".