460045295472 has 160 divisors (see below), whose sum is σ = 1460135116800. Its totient is φ = 121874022144.

The previous prime is 460045295459. The next prime is 460045295497. The reversal of 460045295472 is 274592540064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466572 + ... + 1066667.

It is an arithmetic number, because the mean of its divisors is an integer number (9125844480).

Almost surely, 2^460045295472 is an apocalyptic number.

460045295472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

460045295472 is an abundant number, since it is smaller than the sum of its proper divisors (1000089821328).

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

460045295472 is a wasteful number, since it uses less digits than its factorization.

460045295472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533323 (or 1533317 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 460045295472 in words is "four hundred sixty billion, forty-five million, two hundred ninety-five thousand, four hundred seventy-two".