460039712 has 48 divisors (see below), whose sum is σ = 991769184. Its totient is φ = 208320000.

The previous prime is 460039693. The next prime is 460039729. The reversal of 460039712 is 217930064.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96587 + ... + 101237.

It is an arithmetic number, because the mean of its divisors is an integer number (20661858).

Almost surely, 2^460039712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460039712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495884592).

460039712 is an abundant number, since it is smaller than the sum of its proper divisors (531729472).

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

460039712 is a wasteful number, since it uses less digits than its factorization.

460039712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 460039712 is about 21448.5363603207. The cubic root of 460039712 is about 771.9664763916.

Adding to 460039712 its reverse (217930064), we get a palindrome (677969776).

The spelling of 460039712 in words is "four hundred sixty million, thirty-nine thousand, seven hundred twelve".