506779072 has 56 divisors (see below), whose sum is σ = 1044610560. Its totient is φ = 243674880.

The previous prime is 506779069. The next prime is 506779099. The reversal of 506779072 is 270977605.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354423 + ... + 355849.

It is an arithmetic number, because the mean of its divisors is an integer number (18653760).

Almost surely, 2^506779072 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 506779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522305280).

506779072 is an abundant number, since it is smaller than the sum of its proper divisors (537831488).

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

506779072 is a wasteful number, since it uses less digits than its factorization.

506779072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 506779072 is about 22511.7540853662. The cubic root of 506779072 is about 797.2714711596.

The spelling of 506779072 in words is "five hundred six million, seven hundred seventy-nine thousand, seventy-two".