480767375 has 32 divisors (see below), whose sum is σ = 675717120. Its totient is φ = 338340000.

The previous prime is 480767351. The next prime is 480767383. The reversal of 480767375 is 573767084.

It is not a de Polignac number, because 480767375 - 2¹² = 480763279 is a prime.

It is a super-3 number, since 3×480767375³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36986 + ... + 48264.

It is an arithmetic number, because the mean of its divisors is an integer number (21116160).

Almost surely, 2^480767375 is an apocalyptic number.

480767375 is a deficient number, since it is larger than the sum of its proper divisors (194949745).

480767375 is a wasteful number, since it uses less digits than its factorization.

480767375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11336 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 47.

The square root of 480767375 is about 21926.4081645855. The cubic root of 480767375 is about 783.3905521304.

The spelling of 480767375 in words is "four hundred eighty million, seven hundred sixty-seven thousand, three hundred seventy-five".