460253607 has 16 divisors (see below), whose sum is σ = 669876480. Its totient is φ = 278768000.

The previous prime is 460253593. The next prime is 460253609. The reversal of 460253607 is 706352064.

It is a cyclic number.

It is not a de Polignac number, because 460253607 - 2¹¹ = 460251559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460253609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66982 + ... + 73532.

It is an arithmetic number, because the mean of its divisors is an integer number (41867280).

Almost surely, 2^460253607 is an apocalyptic number.

460253607 is a deficient number, since it is larger than the sum of its proper divisors (209622873).

460253607 is a wasteful number, since it uses less digits than its factorization.

460253607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 460253607 is about 21453.5220185405. The cubic root of 460253607 is about 772.0860995321.

The spelling of 460253607 in words is "four hundred sixty million, two hundred fifty-three thousand, six hundred seven".