460086840 has 96 divisors (see below), whose sum is σ = 1501156800. Its totient is φ = 122208000.

The previous prime is 460086829. The next prime is 460086857. The reversal of 460086840 is 48680064.

460086840 is a `hidden beast` number, since 4 + 600 + 8 + 6 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 460086795 and 460086804.

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, 94465 + ... + 99215.

It is an arithmetic number, because the mean of its divisors is an integer number (15637050).

Almost surely, 2^460086840 is an apocalyptic number.

460086840 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 460086840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750578400).

460086840 is an abundant number, since it is smaller than the sum of its proper divisors (1041069960).

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

460086840 is a wasteful number, since it uses less digits than its factorization.

460086840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 460086840 is about 21449.6349619288. The cubic root of 460086840 is about 771.9928364303.

The spelling of 460086840 in words is "four hundred sixty million, eighty-six thousand, eight hundred forty".