460861440 has 208 divisors, whose sum is σ = 1590757728. Its totient is φ = 113246208.

The previous prime is 460861439. The next prime is 460861459. The reversal of 460861440 is 44168064.

It is a tau number, because it is divible by the number of its divisors (208).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798432 + ... + 799008.

Almost surely, 2^460861440 is an apocalyptic number.

460861440 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 460861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795378864).

460861440 is an abundant number, since it is smaller than the sum of its proper divisors (1129896288).

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

460861440 is a wasteful number, since it uses less digits than its factorization.

460861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 460861440 is about 21467.6836198040. The cubic root of 460861440 is about 772.4258346704.

The spelling of 460861440 in words is "four hundred sixty million, eight hundred sixty-one thousand, four hundred forty".