506829960 has 448 divisors, whose sum is σ = 2115348480. Its totient is φ = 106375680.

The previous prime is 506829931. The next prime is 506829971. The reversal of 506829960 is 69928605.

506829960 is a `hidden beast` number, since 506 + 82 + 9 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2653465 + ... + 2653655.

It is an arithmetic number, because the mean of its divisors is an integer number (4721760).

Almost surely, 2^506829960 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 506829960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057674240).

506829960 is an abundant number, since it is smaller than the sum of its proper divisors (1608518520).

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

506829960 is a wasteful number, since it uses less digits than its factorization.

506829960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 506829960 is about 22512.8843109896. The cubic root of 506829960 is about 797.2981561557.

The spelling of 506829960 in words is "five hundred six million, eight hundred twenty-nine thousand, nine hundred sixty".