506798292 has 192 divisors, whose sum is σ = 1640153088. Its totient is φ = 117504000.

The previous prime is 506798273. The next prime is 506798293. The reversal of 506798292 is 292897605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506798293) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 371692 + ... + 373052.

It is an arithmetic number, because the mean of its divisors is an integer number (8542464).

Almost surely, 2^506798292 is an apocalyptic number.

506798292 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506798292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820076544).

506798292 is an abundant number, since it is smaller than the sum of its proper divisors (1133354796).

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

506798292 is a wasteful number, since it uses less digits than its factorization.

506798292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 506798292 is about 22512.1809694219. The cubic root of 506798292 is about 797.2815500841.

The spelling of 506798292 in words is "five hundred six million, seven hundred ninety-eight thousand, two hundred ninety-two".