480003840 has 576 divisors, whose sum is σ = 1942617600. Its totient is φ = 111476736.

The previous prime is 480003829. The next prime is 480003863. The reversal of 480003840 is 48300084.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 11162859 + ... + 11162901.

It is an arithmetic number, because the mean of its divisors is an integer number (3372600).

Almost surely, 2^480003840 is an apocalyptic number.

480003840 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 480003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971308800).

480003840 is an abundant number, since it is smaller than the sum of its proper divisors (1462613760).

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

480003840 is a wasteful number, since it uses less digits than its factorization.

480003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 480003840 is about 21908.9899356406. The cubic root of 480003840 is about 782.9756161576.

The spelling of 480003840 in words is "four hundred eighty million, three thousand, eight hundred forty".