460314540 has 288 divisors, whose sum is σ = 1667143296. Its totient is φ = 100638720.

The previous prime is 460314529. The next prime is 460314551. The reversal of 460314540 is 45413064.

460314540 is a `hidden beast` number, since 4 + 603 + 1 + 4 + 54 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (460314529) and next prime (460314551).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4073524 + ... + 4073636.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2^460314540 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 460314540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

460314540 is an abundant number, since it is smaller than the sum of its proper divisors (1206828756).

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

460314540 is a wasteful number, since it uses less digits than its factorization.

460314540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 460314540 is about 21454.9420880132. The cubic root of 460314540 is about 772.1201702021.

The spelling of 460314540 in words is "four hundred sixty million, three hundred fourteen thousand, five hundred forty".