480478593 has 16 divisors (see below), whose sum is σ = 770693120. Its totient is φ = 260108496.

The previous prime is 480478589. The next prime is 480478597. The reversal of 480478593 is 395874084.

It is an interprime number because it is at equal distance from previous prime (480478589) and next prime (480478597).

It is not a de Polignac number, because 480478593 - 2² = 480478589 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480478597) 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, 601705 + ... + 602502.

It is an arithmetic number, because the mean of its divisors is an integer number (48168320).

Almost surely, 2^480478593 is an apocalyptic number.

It is an amenable number.

480478593 is a deficient number, since it is larger than the sum of its proper divisors (290214527).

480478593 is a wasteful number, since it uses less digits than its factorization.

480478593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204236.

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 480478593 is about 21919.8219198971. The cubic root of 480478593 is about 783.2336679396.

The spelling of 480478593 in words is "four hundred eighty million, four hundred seventy-eight thousand, five hundred ninety-three".