506055360 has 112 divisors (see below), whose sum is σ = 1617829632. Its totient is φ = 134016000.

The previous prime is 506055353. The next prime is 506055383. The reversal of 506055360 is 63550605.

It is a super-3 number, since 3×506055360³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143215 + ... + 146705.

Almost surely, 2^506055360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808914816).

506055360 is an abundant number, since it is smaller than the sum of its proper divisors (1111774272).

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

506055360 is a wasteful number, since it uses less digits than its factorization.

506055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 506055360 is about 22495.6742508421. The cubic root of 506055360 is about 796.8917726266.

The spelling of 506055360 in words is "five hundred six million, fifty-five thousand, three hundred sixty".