480617730 has 48 divisors (see below), whose sum is σ = 1315379520. Its totient is φ = 121418784.

The previous prime is 480617713. The next prime is 480617741. The reversal of 480617730 is 37716084.

480617730 is a `hidden beast` number, since 4 + 8 + 0 + 617 + 7 + 30 = 666.

It is a super-3 number, since 3×480617730³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138822 + ... + 142241.

It is an arithmetic number, because the mean of its divisors is an integer number (27403740).

Almost surely, 2^480617730 is an apocalyptic number.

480617730 is an abundant number, since it is smaller than the sum of its proper divisors (834761790).

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

480617730 is a wasteful number, since it uses less digits than its factorization.

480617730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281095 (or 281092 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 480617730 is about 21922.9954613871. The cubic root of 480617730 is about 783.3092635831.

The spelling of 480617730 in words is "four hundred eighty million, six hundred seventeen thousand, seven hundred thirty".