460642140 has 240 divisors, whose sum is σ = 1687224000. Its totient is φ = 105162624.

The previous prime is 460642139. The next prime is 460642157. The reversal of 460642140 is 41246064.

460642140 is a `hidden beast` number, since 4 + 6 + 0 + 642 + 14 + 0 = 666.

It is a super-2 number, since 2×460642140² = 424382362287559200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 555246 + ... + 556074.

It is an arithmetic number, because the mean of its divisors is an integer number (7030100).

Almost surely, 2^460642140 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 460642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843612000).

460642140 is an abundant number, since it is smaller than the sum of its proper divisors (1226581860).

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

460642140 is a wasteful number, since it uses less digits than its factorization.

460642140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 460642140 is about 21462.5753347542. The cubic root of 460642140 is about 772.3032961325.

The spelling of 460642140 in words is "four hundred sixty million, six hundred forty-two thousand, one hundred forty".