506739744 has 72 divisors (see below), whose sum is σ = 1646910720. Its totient is φ = 144782208.

The previous prime is 506739719. The next prime is 506739763. The reversal of 506739744 is 447937605.

506739744 is a `hidden beast` number, since 506 + 73 + 9 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 506739744.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123664 + ... + 127695.

It is an arithmetic number, because the mean of its divisors is an integer number (22873760).

Almost surely, 2^506739744 is an apocalyptic number.

It is an amenable number.

506739744 is an abundant number, since it is smaller than the sum of its proper divisors (1140170976).

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

506739744 is a wasteful number, since it uses less digits than its factorization.

506739744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251382 (or 251371 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 506739744 is about 22510.8805691825. The cubic root of 506739744 is about 797.2508468512.

The spelling of 506739744 in words is "five hundred six million, seven hundred thirty-nine thousand, seven hundred forty-four".