480315744 has 144 divisors (see below), whose sum is σ = 1491497280. Its totient is φ = 151632000.

The previous prime is 480315721. The next prime is 480315791. The reversal of 480315744 is 447513084.

480315744 is a `hidden beast` number, since 4 + 80 + 3 + 1 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 480315699 and 480315708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146119 + ... + 149369.

It is an arithmetic number, because the mean of its divisors is an integer number (10357620).

Almost surely, 2^480315744 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 480315744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745748640).

480315744 is an abundant number, since it is smaller than the sum of its proper divisors (1011181536).

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

480315744 is a wasteful number, since it uses less digits than its factorization.

480315744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 480315744 is about 21916.1069535627. The cubic root of 480315744 is about 783.1451705994.

The spelling of 480315744 in words is "four hundred eighty million, three hundred fifteen thousand, seven hundred forty-four".