457520140 has 96 divisors (see below), whose sum is σ = 1250049024. Its totient is φ = 136392960.

The previous prime is 457520111. The next prime is 457520149. The reversal of 457520140 is 41025754.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 457520099 and 457520108.

It is not an unprimeable number, because it can be changed into a prime (457520149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28962 + ... + 41878.

It is an arithmetic number, because the mean of its divisors is an integer number (13021344).

Almost surely, 2^457520140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457520140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625024512).

457520140 is an abundant number, since it is smaller than the sum of its proper divisors (792528884).

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

457520140 is a wasteful number, since it uses less digits than its factorization.

457520140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12967 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 457520140 is about 21389.7204282805. The cubic root of 457520140 is about 770.5545788335.

Adding to 457520140 its reverse (41025754), we get a palindrome (498545894).

The spelling of 457520140 in words is "four hundred fifty-seven million, five hundred twenty thousand, one hundred forty".