459857880 has 96 divisors (see below), whose sum is σ = 1503684000. Its totient is φ = 121878528.

The previous prime is 459857873. The next prime is 459857897. The reversal of 459857880 is 88758954.

It is a super-2 number, since 2×459857880² = 422938539596188800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56296 + ... + 63944.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^459857880 is an apocalyptic number.

459857880 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 459857880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751842000).

459857880 is an abundant number, since it is smaller than the sum of its proper divisors (1043826120).

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

459857880 is a wasteful number, since it uses less digits than its factorization.

459857880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 459857880 is about 21444.2971439961. The cubic root of 459857880 is about 771.8647556760.

The spelling of 459857880 in words is "four hundred fifty-nine million, eight hundred fifty-seven thousand, eight hundred eighty".