506105940 has 48 divisors (see below), whose sum is σ = 1438258752. Its totient is φ = 132946176.

The previous prime is 506105921. The next prime is 506105947. The reversal of 506105940 is 49501605.

It is a super-2 number, since 2×506105940² = 512286445006567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 506105898 and 506105907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506105947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58929 + ... + 66968.

It is an arithmetic number, because the mean of its divisors is an integer number (29963724).

Almost surely, 2^506105940 is an apocalyptic number.

It is an amenable number.

506105940 is an abundant number, since it is smaller than the sum of its proper divisors (932152812).

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

506105940 is a wasteful number, since it uses less digits than its factorization.

506105940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125976 (or 125974 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 506105940 is about 22496.7984388890. The cubic root of 506105940 is about 796.9183213972.

The spelling of 506105940 in words is "five hundred six million, one hundred five thousand, nine hundred forty".