480217746 has 32 divisors (see below), whose sum is σ = 989687808. Its totient is φ = 155226240.

The previous prime is 480217741. The next prime is 480217763. The reversal of 480217746 is 647712084.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480217741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66031 + ... + 72941.

It is an arithmetic number, because the mean of its divisors is an integer number (30927744).

Almost surely, 2^480217746 is an apocalyptic number.

480217746 is an abundant number, since it is smaller than the sum of its proper divisors (509470062).

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

480217746 is a wasteful number, since it uses less digits than its factorization.

480217746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 480217746 is about 21913.8710865972. The cubic root of 480217746 is about 783.0919057201.

The spelling of 480217746 in words is "four hundred eighty million, two hundred seventeen thousand, seven hundred forty-six".