480144096 has 72 divisors (see below), whose sum is σ = 1378259064. Its totient is φ = 158542080.

The previous prime is 480144031. The next prime is 480144101. The reversal of 480144096 is 690441084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 480144096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23026 + ... + 38606.

It is an arithmetic number, because the mean of its divisors is an integer number (19142487).

Almost surely, 2^480144096 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 480144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689129532).

480144096 is an abundant number, since it is smaller than the sum of its proper divisors (898114968).

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

480144096 is a wasteful number, since it uses less digits than its factorization.

480144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480144096 is about 21912.1905796750. The cubic root of 480144096 is about 783.0518699460.

The spelling of 480144096 in words is "four hundred eighty million, one hundred forty-four thousand, ninety-six".