480156768 has 384 divisors, whose sum is σ = 1788272640. Its totient is φ = 121927680.

The previous prime is 480156757. The next prime is 480156769. The reversal of 480156768 is 867651084.

It is a happy number.

480156768 is a `hidden beast` number, since 4 + 80 + 1 + 567 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480156769) 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, 2437246 + ... + 2437442.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2^480156768 is an apocalyptic number.

480156768 is a gapful number since it is divisible by the number (48) 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 480156768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

480156768 is an abundant number, since it is smaller than the sum of its proper divisors (1308115872).

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

480156768 is a wasteful number, since it uses less digits than its factorization.

480156768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 480156768 is about 21912.4797318788. The cubic root of 480156768 is about 783.0587586738.

The spelling of 480156768 in words is "four hundred eighty million, one hundred fifty-six thousand, seven hundred sixty-eight".