460272813 has 32 divisors (see below), whose sum is σ = 823990272. Its totient is φ = 220708800.

The previous prime is 460272797. The next prime is 460272851. The reversal of 460272813 is 318272064.

It is not a de Polignac number, because 460272813 - 2⁴ = 460272797 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 (460272313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73633 + ... + 79638.

It is an arithmetic number, because the mean of its divisors is an integer number (25749696).

Almost surely, 2^460272813 is an apocalyptic number.

It is an amenable number.

460272813 is a deficient number, since it is larger than the sum of its proper divisors (363717459).

460272813 is a wasteful number, since it uses less digits than its factorization.

460272813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153305.

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

The square root of 460272813 is about 21453.9696326810. The cubic root of 460272813 is about 772.0968388862.

The spelling of 460272813 in words is "four hundred sixty million, two hundred seventy-two thousand, eight hundred thirteen".