457682260 has 96 divisors (see below), whose sum is σ = 1172586240. Its totient is φ = 146562048.

The previous prime is 457682237. The next prime is 457682261. The reversal of 457682260 is 62286754.

It is a super-2 number, since 2×457682260² = 418946102237415200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457682261) 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, 193002 + ... + 195358.

It is an arithmetic number, because the mean of its divisors is an integer number (12214440).

Almost surely, 2^457682260 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 457682260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586293120).

457682260 is an abundant number, since it is smaller than the sum of its proper divisors (714903980).

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

457682260 is a wasteful number, since it uses less digits than its factorization.

457682260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 457682260 is about 21393.5097634773. The cubic root of 457682260 is about 770.6455821542.

The spelling of 457682260 in words is "four hundred fifty-seven million, six hundred eighty-two thousand, two hundred sixty".