480753900 has 144 divisors (see below), whose sum is σ = 1686142080. Its totient is φ = 116539200.

The previous prime is 480753883. The next prime is 480753907. The reversal of 480753900 is 9357084.

It is a super-3 number, since 3×480753900³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480753907) 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 47 ways as a sum of consecutive naturals, for example, 21607 + ... + 37793.

It is an arithmetic number, because the mean of its divisors is an integer number (11709320).

Almost surely, 2^480753900 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 480753900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843071040).

480753900 is an abundant number, since it is smaller than the sum of its proper divisors (1205388180).

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

480753900 is a wasteful number, since it uses less digits than its factorization.

480753900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16221 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 480753900 is about 21926.1008845622. The cubic root of 480753900 is about 783.3832330770.

The spelling of 480753900 in words is "four hundred eighty million, seven hundred fifty-three thousand, nine hundred".