480558435 has 128 divisors (see below), whose sum is σ = 973209600. Its totient is φ = 201801600.

The previous prime is 480558433. The next prime is 480558443. The reversal of 480558435 is 534855084.

It is not a de Polignac number, because 480558435 - 2¹ = 480558433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480558433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3668320 + ... + 3668450.

It is an arithmetic number, because the mean of its divisors is an integer number (7603200).

Almost surely, 2^480558435 is an apocalyptic number.

480558435 is an abundant number, since it is smaller than the sum of its proper divisors (492651165).

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

480558435 is a wasteful number, since it uses less digits than its factorization.

480558435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 480558435 is about 21921.6430725436. The cubic root of 480558435 is about 783.2770493235.

The spelling of 480558435 in words is "four hundred eighty million, five hundred fifty-eight thousand, four hundred thirty-five".