480604896 has 72 divisors (see below), whose sum is σ = 1374033024. Its totient is φ = 159344640.

The previous prime is 480604837. The next prime is 480604913. The reversal of 480604896 is 698406084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×480604896³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50640 + ... + 59376.

It is an arithmetic number, because the mean of its divisors is an integer number (19083792).

Almost surely, 2^480604896 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 480604896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687016512).

480604896 is an abundant number, since it is smaller than the sum of its proper divisors (893428128).

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

480604896 is a wasteful number, since it uses less digits than its factorization.

480604896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8944 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 480604896 is about 21922.7027530822. The cubic root of 480604896 is about 783.3022912501.

The spelling of 480604896 in words is "four hundred eighty million, six hundred four thousand, eight hundred ninety-six".