506788600 has 24 divisors (see below), whose sum is σ = 1178283960. Its totient is φ = 202715360.

The previous prime is 506788591. The next prime is 506788657. The reversal of 506788600 is 6887605.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1266772 + ... + 1267171.

It is an arithmetic number, because the mean of its divisors is an integer number (49095165).

Almost surely, 2^506788600 is an apocalyptic number.

506788600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506788600 is an abundant number, since it is smaller than the sum of its proper divisors (671495360).

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

506788600 is a wasteful number, since it uses less digits than its factorization.

506788600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533959 (or 2533950 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 506788600 is about 22511.9657071523. The cubic root of 506788600 is about 797.2764676531.

The spelling of 506788600 in words is "five hundred six million, seven hundred eighty-eight thousand, six hundred".