457879260 has 96 divisors (see below), whose sum is σ = 1343462400. Its totient is φ = 116363520.

The previous prime is 457879259. The next prime is 457879297. The reversal of 457879260 is 62978754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135795 + ... + 139125.

It is an arithmetic number, because the mean of its divisors is an integer number (13994400).

Almost surely, 2^457879260 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 457879260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671731200).

457879260 is an abundant number, since it is smaller than the sum of its proper divisors (885583140).

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

457879260 is a wasteful number, since it uses less digits than its factorization.

457879260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 457879260 is about 21398.1134682476. The cubic root of 457879260 is about 770.7561358548.

It can be divided in two parts, 4578 and 79260, that added together give a palindrome (83838).

The spelling of 457879260 in words is "four hundred fifty-seven million, eight hundred seventy-nine thousand, two hundred sixty".