480040920 has 96 divisors (see below), whose sum is σ = 1563513120. Its totient is φ = 127733760.

The previous prime is 480040907. The next prime is 480040927. The reversal of 480040920 is 29040084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480040927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206565 + ... + 208875.

It is an arithmetic number, because the mean of its divisors is an integer number (16286595).

Almost surely, 2^480040920 is an apocalyptic number.

480040920 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 480040920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781756560).

480040920 is an abundant number, since it is smaller than the sum of its proper divisors (1083472200).

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

480040920 is a wasteful number, since it uses less digits than its factorization.

480040920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480040920 is about 21909.8361472650. The cubic root of 480040920 is about 782.9957770993.

The spelling of 480040920 in words is "four hundred eighty million, forty thousand, nine hundred twenty".