464844880 has 80 divisors (see below), whose sum is σ = 1165550400. Its totient is φ = 171832320.

The previous prime is 464844847. The next prime is 464844883. The reversal of 464844880 is 88448464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 464844880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464844883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58591 + ... + 66049.

It is an arithmetic number, because the mean of its divisors is an integer number (14569380).

Almost surely, 2^464844880 is an apocalyptic number.

464844880 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 464844880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582775200).

464844880 is an abundant number, since it is smaller than the sum of its proper divisors (700705520).

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

464844880 is a wasteful number, since it uses less digits than its factorization.

464844880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 46.

The square root of 464844880 is about 21560.2615939603. The cubic root of 464844880 is about 774.6449320427.

The spelling of 464844880 in words is "four hundred sixty-four million, eight hundred forty-four thousand, eight hundred eighty".