460493370 has 64 divisors (see below), whose sum is σ = 1243584000. Its totient is φ = 121238208.

The previous prime is 460493359. The next prime is 460493377. The reversal of 460493370 is 73394064.

It is not an unprimeable number, because it can be changed into a prime (460493377) 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, 10536 + ... + 32124.

It is an arithmetic number, because the mean of its divisors is an integer number (19431000).

Almost surely, 2^460493370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460493370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621792000).

460493370 is an abundant number, since it is smaller than the sum of its proper divisors (783090630).

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

460493370 is a wasteful number, since it uses less digits than its factorization.

460493370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21684 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 460493370 is about 21459.1092545800. The cubic root of 460493370 is about 772.2201455892.

The spelling of 460493370 in words is "four hundred sixty million, four hundred ninety-three thousand, three hundred seventy".