506904282 has 96 divisors (see below), whose sum is σ = 1173744000. Its totient is φ = 157852800.

The previous prime is 506904269. The next prime is 506904313. The reversal of 506904282 is 282409605.

It is a happy number.

It is a super-2 number, since 2×506904282² = 513903902219871048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3356907 + ... + 3357057.

It is an arithmetic number, because the mean of its divisors is an integer number (12226500).

Almost surely, 2^506904282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506904282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586872000).

506904282 is an abundant number, since it is smaller than the sum of its proper divisors (666839718).

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

506904282 is a wasteful number, since it uses less digits than its factorization.

506904282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 506904282 is about 22514.5349052562. The cubic root of 506904282 is about 797.3371264232.

The spelling of 506904282 in words is "five hundred six million, nine hundred four thousand, two hundred eighty-two".