480449376 has 216 divisors, whose sum is σ = 1592077032. Its totient is φ = 136857600.

The previous prime is 480449339. The next prime is 480449381. The reversal of 480449376 is 673944084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592011 + ... + 592821.

It is an arithmetic number, because the mean of its divisors is an integer number (7370727).

Almost surely, 2^480449376 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 480449376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796038516).

480449376 is an abundant number, since it is smaller than the sum of its proper divisors (1111627656).

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

480449376 is a wasteful number, since it uses less digits than its factorization.

480449376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 480449376 is about 21919.1554581831. The cubic root of 480449376 is about 783.2177919621.

The spelling of 480449376 in words is "four hundred eighty million, four hundred forty-nine thousand, three hundred seventy-six".