506787840 has 480 divisors, whose sum is σ = 1997835840. Its totient is φ = 122093568.

The previous prime is 506787823. The next prime is 506787851. The reversal of 506787840 is 48787605.

506787840 is a `hidden beast` number, since 506 + 78 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 10782697 + ... + 10782743.

It is an arithmetic number, because the mean of its divisors is an integer number (4162158).

Almost surely, 2^506787840 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 506787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998917920).

506787840 is an abundant number, since it is smaller than the sum of its proper divisors (1491048000).

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

506787840 is a wasteful number, since it uses less digits than its factorization.

506787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 506787840 is about 22511.9488272339. The cubic root of 506787840 is about 797.2760691105.

The spelling of 506787840 in words is "five hundred six million, seven hundred eighty-seven thousand, eight hundred forty".