457872839460 has 144 divisors (see below), whose sum is σ = 1405120953600. Its totient is φ = 120679891200.

The previous prime is 457872839423. The next prime is 457872839461. The reversal of 457872839460 is 64938278754.

457872839460 is a `hidden beast` number, since 4 + 5 + 78 + 72 + 8 + 39 + 460 = 666.

It is not an unprimeable number, because it can be changed into a prime (457872839461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5366494 + ... + 5451146.

It is an arithmetic number, because the mean of its divisors is an integer number (9757784400).

Almost surely, 2^457872839460 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 457872839460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702560476800).

457872839460 is an abundant number, since it is smaller than the sum of its proper divisors (947248114140).

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

457872839460 is a wasteful number, since it uses less digits than its factorization.

457872839460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85018 (or 85013 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 457872839460 in words is "four hundred fifty-seven billion, eight hundred seventy-two million, eight hundred thirty-nine thousand, four hundred sixty".