480000657312 has 144 divisors (see below), whose sum is σ = 1523723449248. Its totient is φ = 142072035840.

The previous prime is 480000657293. The next prime is 480000657313. The reversal of 480000657312 is 213756000084.

480000657312 is a `hidden beast` number, since 4 + 80 + 0 + 0 + 0 + 6 + 573 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (480000657313) 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, 1625583 + ... + 1898030.

It is an arithmetic number, because the mean of its divisors is an integer number (10581412842).

Almost surely, 2^480000657312 is an apocalyptic number.

It is an amenable number.

480000657312 is an abundant number, since it is smaller than the sum of its proper divisors (1043722791936).

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

480000657312 is a wasteful number, since it uses less digits than its factorization.

480000657312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523683 (or 3523672 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 480000657312 its reverse (213756000084), we get a palindrome (693756657396).

The spelling of 480000657312 in words is "four hundred eighty billion, six hundred fifty-seven thousand, three hundred twelve".