460502031609 has 9 divisors (see below), whose sum is σ = 665172541839. Its totient is φ = 306999997200.

The previous prime is 460502031569. The next prime is 460502031637. The reversal of 460502031609 is 906130205064.

It is a happy number.

The square root of 460502031609 is 678603.

It is a perfect power (a square), and thus also a powerful number.

460502031609 is a `hidden beast` number, since 4 + 60 + 502 + 0 + 31 + 60 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 455823471609 + 4678560000 = 675147^2 + 68400^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 460502031609 - 2²¹ = 460499934457 is a prime.

It is a super-2 number, since 2×460502031609² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460502031109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1922709 + ... + 2148909.

Almost surely, 2^460502031609 is an apocalyptic number.

460502031609 is the 678603-rd square number.

460502031609 is the 339302-nd centered octagonal number.

It is an amenable number.

460502031609 is a deficient number, since it is larger than the sum of its proper divisors (204670510230).

460502031609 is an frugal number, since it uses more digits than its factorization.

460502031609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452408 (or 226204 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 460502031609 by its sum of digits (36), we get a square (16578073137924 = 4071618²).

The spelling of 460502031609 in words is "four hundred sixty billion, five hundred two million, thirty-one thousand, six hundred nine".