460201140 has 108 divisors (see below), whose sum is σ = 1623883716. Its totient is φ = 105186816.

The previous prime is 460201127. The next prime is 460201151. The reversal of 460201140 is 41102064.

460201140 is a `hidden beast` number, since 460 + 201 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50381604 + 409819536 = 7098^2 + 20244^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17269 + ... + 34908.

Almost surely, 2^460201140 is an apocalyptic number.

It is an amenable number.

460201140 is an abundant number, since it is smaller than the sum of its proper divisors (1163682576).

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

460201140 is a wasteful number, since it uses less digits than its factorization.

460201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52206 (or 52194 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 460201140 is about 21452.2991774775. The cubic root of 460201140 is about 772.0567602141.

The spelling of 460201140 in words is "four hundred sixty million, two hundred one thousand, one hundred forty".