506802240 has 336 divisors, whose sum is σ = 2080735488. Its totient is φ = 110702592.

The previous prime is 506802239. The next prime is 506802251. The reversal of 506802240 is 42208605.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463134 + ... + 464226.

Almost surely, 2^506802240 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 506802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040367744).

506802240 is an abundant number, since it is smaller than the sum of its proper divisors (1573933248).

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

506802240 is a wasteful number, since it uses less digits than its factorization.

506802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 506802240 is about 22512.2686551134. The cubic root of 506802240 is about 797.2836203748.

The spelling of 506802240 in words is "five hundred six million, eight hundred two thousand, two hundred forty".