460072116 has 192 divisors, whose sum is σ = 1433026560. Its totient is φ = 124882560.

The previous prime is 460072103. The next prime is 460072121. The reversal of 460072116 is 611270064.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 460072116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1570066 + ... + 1570358.

It is an arithmetic number, because the mean of its divisors is an integer number (7463680).

Almost surely, 2^460072116 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 460072116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716513280).

460072116 is an abundant number, since it is smaller than the sum of its proper divisors (972954444).

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

460072116 is a wasteful number, since it uses less digits than its factorization.

460072116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 460072116 is about 21449.2917365586. The cubic root of 460072116 is about 771.9846010692.

The spelling of 460072116 in words is "four hundred sixty million, seventy-two thousand, one hundred sixteen".