480097035 has 48 divisors (see below), whose sum is σ = 955618560. Its totient is φ = 220518720.

The previous prime is 480096913. The next prime is 480097039. The reversal of 480097035 is 530790084.

It is not a de Polignac number, because 480097035 - 2¹⁰ = 480096011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480097039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16119 + ... + 34928.

It is an arithmetic number, because the mean of its divisors is an integer number (19908720).

Almost surely, 2^480097035 is an apocalyptic number.

480097035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480097035 is a deficient number, since it is larger than the sum of its proper divisors (475521525).

480097035 is a wasteful number, since it uses less digits than its factorization.

480097035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51088 (or 51085 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 480097035 is about 21911.1166990640. The cubic root of 480097035 is about 783.0262856763.

The spelling of 480097035 in words is "four hundred eighty million, ninety-seven thousand, thirty-five".