480725760 has 144 divisors (see below), whose sum is σ = 1602365184. Its totient is φ = 122597376.

The previous prime is 480725753. The next prime is 480725789. The reversal of 480725760 is 67527084.

It is a super-3 number, since 3×480725760³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85599 + ... + 91041.

It is an arithmetic number, because the mean of its divisors is an integer number (11127536).

Almost surely, 2^480725760 is an apocalyptic number.

480725760 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 480725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801182592).

480725760 is an abundant number, since it is smaller than the sum of its proper divisors (1121639424).

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

480725760 is a wasteful number, since it uses less digits than its factorization.

480725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 480725760 is about 21925.4591742112. The cubic root of 480725760 is about 783.3679481711.

The spelling of 480725760 in words is "four hundred eighty million, seven hundred twenty-five thousand, seven hundred sixty".