480036480 has 512 divisors, whose sum is σ = 2030469120. Its totient is φ = 93388800.

The previous prime is 480036451. The next prime is 480036481. The reversal of 480036480 is 84630084.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (480036481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513185 + ... + 2513375.

It is an arithmetic number, because the mean of its divisors is an integer number (3965760).

Almost surely, 2^480036480 is an apocalyptic number.

480036480 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 480036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015234560).

480036480 is an abundant number, since it is smaller than the sum of its proper divisors (1550432640).

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

480036480 is a wasteful number, since it uses less digits than its factorization.

480036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 480036480 is about 21909.7348226764. The cubic root of 480036480 is about 782.9933630607.

The spelling of 480036480 in words is "four hundred eighty million, thirty-six thousand, four hundred eighty".