480743125 has 40 divisors (see below), whose sum is σ = 639695232. Its totient is φ = 360360000.

The previous prime is 480743117. The next prime is 480743141. The reversal of 480743125 is 521347084.

It is not a de Polignac number, because 480743125 - 2³ = 480743117 is a prime.

It is a super-3 number, since 3×480743125³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 761560 + ... + 762190.

Almost surely, 2^480743125 is an apocalyptic number.

It is an amenable number.

480743125 is a deficient number, since it is larger than the sum of its proper divisors (158952107).

480743125 is an equidigital number, since it uses as much as digits as its factorization.

480743125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 480743125 is about 21925.8551714637. The cubic root of 480743125 is about 783.3773804516.

The spelling of 480743125 in words is "four hundred eighty million, seven hundred forty-three thousand, one hundred twenty-five".