460590760 has 128 divisors (see below), whose sum is σ = 1237420800. Its totient is φ = 150958080.

The previous prime is 460590751. The next prime is 460590769. The reversal of 460590760 is 67095064.

It is an interprime number because it is at equal distance from previous prime (460590751) and next prime (460590769).

It is not an unprimeable number, because it can be changed into a prime (460590769) 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, 1063504 + ... + 1063936.

It is an arithmetic number, because the mean of its divisors is an integer number (9667350).

Almost surely, 2^460590760 is an apocalyptic number.

460590760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460590760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

460590760 is an abundant number, since it is smaller than the sum of its proper divisors (776830040).

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

460590760 is a wasteful number, since it uses less digits than its factorization.

460590760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 460590760 is about 21461.3783341145. The cubic root of 460590760 is about 772.2745808418.

The spelling of 460590760 in words is "four hundred sixty million, five hundred ninety thousand, seven hundred sixty".