480777374 has 64 divisors (see below), whose sum is σ = 957381120. Its totient is φ = 175303680.

The previous prime is 480777359. The next prime is 480777403. The reversal of 480777374 is 473777084.

It is a happy number.

It is a super-3 number, since 3×480777374³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593882 + ... + 594690.

It is an arithmetic number, because the mean of its divisors is an integer number (14959080).

Almost surely, 2^480777374 is an apocalyptic number.

480777374 is a deficient number, since it is larger than the sum of its proper divisors (476603746).

480777374 is a wasteful number, since it uses less digits than its factorization.

480777374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073.

The product of its (nonzero) digits is 921984, while the sum is 47.

The square root of 480777374 is about 21926.6361761215. The cubic root of 480777374 is about 783.3959830784.

The spelling of 480777374 in words is "four hundred eighty million, seven hundred seventy-seven thousand, three hundred seventy-four".