480767376 has 40 divisors (see below), whose sum is σ = 1242767680. Its totient is φ = 160154496.

The previous prime is 480767351. The next prime is 480767383. The reversal of 480767376 is 673767084.

It is a super-3 number, since 3×480767376³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146166 + ... + 149418.

It is an arithmetic number, because the mean of its divisors is an integer number (31069192).

Almost surely, 2^480767376 is an apocalyptic number.

It is an amenable number.

480767376 is an abundant number, since it is smaller than the sum of its proper divisors (762000304).

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

480767376 is a wasteful number, since it uses less digits than its factorization.

480767376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 480767376 is about 21926.4081873890. The cubic root of 480767376 is about 783.3905526735.

The spelling of 480767376 in words is "four hundred eighty million, seven hundred sixty-seven thousand, three hundred seventy-six".