506355672 has 64 divisors (see below), whose sum is σ = 1333428480. Its totient is φ = 159919232.

The previous prime is 506355637. The next prime is 506355673. The reversal of 506355672 is 276553605.

It is a self number, because there is not a number n which added to its sum of digits gives 506355672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506355673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54778 + ... + 63350.

It is an arithmetic number, because the mean of its divisors is an integer number (20834820).

Almost surely, 2^506355672 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 506355672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666714240).

506355672 is an abundant number, since it is smaller than the sum of its proper divisors (827072808).

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

506355672 is a wasteful number, since it uses less digits than its factorization.

506355672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The square root of 506355672 is about 22502.3481441382. The cubic root of 506355672 is about 797.0493764890.

The spelling of 506355672 in words is "five hundred six million, three hundred fifty-five thousand, six hundred seventy-two".