480007920 has 280 divisors, whose sum is σ = 1838145744. Its totient is φ = 103262208.

The previous prime is 480007897. The next prime is 480007939. The reversal of 480007920 is 29700084.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (30).

480007920 is a modest number, since divided by 7920 gives 480 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28235752 + ... + 28235768.

Almost surely, 2^480007920 is an apocalyptic number.

480007920 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 480007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919072872).

480007920 is an abundant number, since it is smaller than the sum of its proper divisors (1358137824).

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

480007920 is an frugal number, since it uses more digits than its factorization.

480007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 480007920 is about 21909.0830479050. The cubic root of 480007920 is about 782.9778345645.

The spelling of 480007920 in words is "four hundred eighty million, seven thousand, nine hundred twenty".