460616320 has 32 divisors (see below), whose sum is σ = 1101162420. Its totient is φ = 184246272.

The previous prime is 460616287. The next prime is 460616327. The reversal of 460616320 is 23616064.

It can be written as a sum of positive squares in 2 ways, for example, as 428986944 + 31629376 = 20712^2 + 5624^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (460616327) 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 3 ways as a sum of consecutive naturals, for example, 359217 + ... + 360496.

Almost surely, 2^460616320 is an apocalyptic number.

460616320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460616320 is an abundant number, since it is smaller than the sum of its proper divisors (640546100).

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

460616320 is an equidigital number, since it uses as much as digits as its factorization.

460616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719732 (or 719720 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 460616320 is about 21461.9738141672. The cubic root of 460616320 is about 772.2888660996.

The spelling of 460616320 in words is "four hundred sixty million, six hundred sixteen thousand, three hundred twenty".