460303965 has 144 divisors (see below), whose sum is σ = 948100608. Its totient is φ = 213840000.

The previous prime is 460303957. The next prime is 460303981. The reversal of 460303965 is 569303064.

It is not a de Polignac number, because 460303965 - 2³ = 460303957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4557415 + ... + 4557515.

It is an arithmetic number, because the mean of its divisors is an integer number (6584032).

Almost surely, 2^460303965 is an apocalyptic number.

460303965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460303965 is an abundant number, since it is smaller than the sum of its proper divisors (487796643).

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

460303965 is a wasteful number, since it uses less digits than its factorization.

460303965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 460303965 is about 21454.6956398827. The cubic root of 460303965 is about 772.1142574094.

The spelling of 460303965 in words is "four hundred sixty million, three hundred three thousand, nine hundred sixty-five".