464110080 has 320 divisors, whose sum is σ = 1732389120. Its totient is φ = 103809024.

The previous prime is 464110067. The next prime is 464110091. The reversal of 464110080 is 80011464.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 464110080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4784592 + ... + 4784688.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^464110080 is an apocalyptic number.

464110080 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 464110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

464110080 is an abundant number, since it is smaller than the sum of its proper divisors (1268279040).

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

464110080 is an equidigital number, since it uses as much as digits as its factorization.

464110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 464110080 is about 21543.2142448614. The cubic root of 464110080 is about 774.2365454256.

The spelling of 464110080 in words is "four hundred sixty-four million, one hundred ten thousand, eighty".