460701045 has 96 divisors (see below), whose sum is σ = 940972032. Its totient is φ = 204183936.

The previous prime is 460701001. The next prime is 460701053. The reversal of 460701045 is 540107064.

460701045 is a `hidden beast` number, since 4 + 607 + 0 + 10 + 45 = 666.

It is not a de Polignac number, because 460701045 - 2⁸ = 460700789 is a prime.

It is a congruent number.

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, 1751584 + ... + 1751846.

It is an arithmetic number, because the mean of its divisors is an integer number (9801792).

Almost surely, 2^460701045 is an apocalyptic number.

460701045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460701045 is an abundant number, since it is smaller than the sum of its proper divisors (480270987).

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

460701045 is a wasteful number, since it uses less digits than its factorization.

460701045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 460701045 is about 21463.9475632979. The cubic root of 460701045 is about 772.3362143733.

The spelling of 460701045 in words is "four hundred sixty million, seven hundred one thousand, forty-five".