468120064 has 40 divisors (see below), whose sum is σ = 945927180. Its totient is φ = 231407616.

The previous prime is 468120061. The next prime is 468120097. The reversal of 468120064 is 460021864.

It can be written as a sum of positive squares in 2 ways, for example, as 424030464 + 44089600 = 20592^2 + 6640^2 .

It is not an unprimeable number, because it can be changed into a prime (468120061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40432 + ... + 50704.

Almost surely, 2^468120064 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 468120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472963590).

468120064 is an abundant number, since it is smaller than the sum of its proper divisors (477807116).

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

468120064 is an equidigital number, since it uses as much as digits as its factorization.

468120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 468120064 is about 21636.0824550102. The cubic root of 468120064 is about 776.4599958079.

The spelling of 468120064 in words is "four hundred sixty-eight million, one hundred twenty thousand, sixty-four".