460760320 has 72 divisors (see below), whose sum is σ = 1110382560. Its totient is φ = 183183360.

The previous prime is 460760291. The next prime is 460760327. The reversal of 460760320 is 23067064.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460760327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228115 + ... + 230125.

It is an arithmetic number, because the mean of its divisors is an integer number (15421980).

Almost surely, 2^460760320 is an apocalyptic number.

460760320 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 460760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555191280).

460760320 is an abundant number, since it is smaller than the sum of its proper divisors (649622240).

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

460760320 is a wasteful number, since it uses less digits than its factorization.

460760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 460760320 is about 21465.3283226696. The cubic root of 460760320 is about 772.3693365511.

The spelling of 460760320 in words is "four hundred sixty million, seven hundred sixty thousand, three hundred twenty".