480384448 has 56 divisors (see below), whose sum is σ = 1009497600. Its totient is φ = 226176768.

The previous prime is 480384427. The next prime is 480384469. The reversal of 480384448 is 844483084.

It is an interprime number because it is at equal distance from previous prime (480384427) and next prime (480384469).

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 7 ways as a sum of consecutive naturals, for example, 216561 + ... + 218767.

Almost surely, 2^480384448 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 480384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504748800).

480384448 is an abundant number, since it is smaller than the sum of its proper divisors (529113152).

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

480384448 is a wasteful number, since it uses less digits than its factorization.

480384448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 43.

The square root of 480384448 is about 21917.6743291801. The cubic root of 480384448 is about 783.1825089831.

The spelling of 480384448 in words is "four hundred eighty million, three hundred eighty-four thousand, four hundred forty-eight".