460628007 has 8 divisors (see below), whose sum is σ = 701909376. Its totient is φ = 263215992.

The previous prime is 460627991. The next prime is 460628011. The reversal of 460628007 is 700826064.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 460628007 - 2⁴ = 460627991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460628027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10967313 + ... + 10967354.

It is an arithmetic number, because the mean of its divisors is an integer number (87738672).

Almost surely, 2^460628007 is an apocalyptic number.

460628007 is a deficient number, since it is larger than the sum of its proper divisors (241281369).

460628007 is a wasteful number, since it uses less digits than its factorization.

460628007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21934677.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 460628007 is about 21462.2460846949. The cubic root of 460628007 is about 772.2953976844.

The spelling of 460628007 in words is "four hundred sixty million, six hundred twenty-eight thousand, seven".