480783375 has 96 divisors (see below), whose sum is σ = 958449024. Its totient is φ = 230630400.

The previous prime is 480783319. The next prime is 480783379. The reversal of 480783375 is 573387084.

480783375 is a `hidden beast` number, since 480 + 78 + 33 + 75 = 666.

It is not a de Polignac number, because 480783375 - 2⁶ = 480783311 is a prime.

It is a super-3 number, since 3×480783375³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 480783375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480783379) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 439329 + ... + 440421.

It is an arithmetic number, because the mean of its divisors is an integer number (9983844).

Almost surely, 2^480783375 is an apocalyptic number.

480783375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480783375 is a deficient number, since it is larger than the sum of its proper divisors (477665649).

480783375 is a wasteful number, since it uses less digits than its factorization.

480783375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 480783375 is about 21926.7730183901. The cubic root of 480783375 is about 783.3992424800.

The spelling of 480783375 in words is "four hundred eighty million, seven hundred eighty-three thousand, three hundred seventy-five".