460879848 has 256 divisors, whose sum is σ = 1543449600. Its totient is φ = 125556480.

The previous prime is 460879847. The next prime is 460879901. The reversal of 460879848 is 848978064.

It is a super-3 number, since 3×460879848³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 460879794 and 460879803.

It is not an unprimeable number, because it can be changed into a prime (460879841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328011 + ... + 1328357.

It is an arithmetic number, because the mean of its divisors is an integer number (6029100).

Almost surely, 2^460879848 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 460879848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771724800).

460879848 is an abundant number, since it is smaller than the sum of its proper divisors (1082569752).

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

460879848 is a wasteful number, since it uses less digits than its factorization.

460879848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 460879848 is about 21468.1123529760. The cubic root of 460879848 is about 772.4361187632.

The spelling of 460879848 in words is "four hundred sixty million, eight hundred seventy-nine thousand, eight hundred forty-eight".