468901664 has 48 divisors (see below), whose sum is σ = 1150946496. Its totient is φ = 182688000.

The previous prime is 468901663. The next prime is 468901673. The reversal of 468901664 is 466109864.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (468901663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92687 + ... + 97614.

It is an arithmetic number, because the mean of its divisors is an integer number (23978052).

Almost surely, 2^468901664 is an apocalyptic number.

468901664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468901664 is an abundant number, since it is smaller than the sum of its proper divisors (682044832).

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

468901664 is a wasteful number, since it uses less digits than its factorization.

468901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190329 (or 190321 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 468901664 is about 21654.1373413951. The cubic root of 468901664 is about 776.8918961765.

The spelling of 468901664 in words is "four hundred sixty-eight million, nine hundred one thousand, six hundred sixty-four".