468311680 has 32 divisors (see below), whose sum is σ = 1119559140. Its totient is φ = 187324416.

The previous prime is 468311659. The next prime is 468311693. The reversal of 468311680 is 86113864.

It can be written as a sum of positive squares in 2 ways, for example, as 405458496 + 62853184 = 20136^2 + 7928^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365229 + ... + 366508.

Almost surely, 2^468311680 is an apocalyptic number.

468311680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468311680 is an abundant number, since it is smaller than the sum of its proper divisors (651247460).

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

468311680 is an equidigital number, since it uses as much as digits as its factorization.

468311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731756 (or 731744 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 468311680 is about 21640.5101603451. The cubic root of 468311680 is about 776.5659243750.

The spelling of 468311680 in words is "four hundred sixty-eight million, three hundred eleven thousand, six hundred eighty".