506672784 has 120 divisors (see below), whose sum is σ = 1482678912. Its totient is φ = 161360640.

The previous prime is 506672689. The next prime is 506672813. The reversal of 506672784 is 487276605.

506672784 is a `hidden beast` number, since 506 + 6 + 72 + 78 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290154 + ... + 291894.

Almost surely, 2^506672784 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 506672784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741339456).

506672784 is an abundant number, since it is smaller than the sum of its proper divisors (976006128).

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

506672784 is a wasteful number, since it uses less digits than its factorization.

506672784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 506672784 is about 22509.3932392679. The cubic root of 506672784 is about 797.2157293714.

The spelling of 506672784 in words is "five hundred six million, six hundred seventy-two thousand, seven hundred eighty-four".