480001536 has 240 divisors, whose sum is σ = 1654608384. Its totient is φ = 130977792.

The previous prime is 480001523. The next prime is 480001537. The reversal of 480001536 is 635100084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480001537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741565 + ... + 742211.

Almost surely, 2^480001536 is an apocalyptic number.

480001536 is a gapful number since it is divisible by the number (46) 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 480001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827304192).

480001536 is an abundant number, since it is smaller than the sum of its proper divisors (1174606848).

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

480001536 is a wasteful number, since it uses less digits than its factorization.

480001536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 480001536 is about 21908.9373544223. The cubic root of 480001536 is about 782.9743634046.

The spelling of 480001536 in words is "four hundred eighty million, one thousand, five hundred thirty-six".