506911938 has 64 divisors (see below), whose sum is σ = 1166054400. Its totient is φ = 145716480.

The previous prime is 506911931. The next prime is 506911943. The reversal of 506911938 is 839119605.

It is a self number, because there is not a number n which added to its sum of digits gives 506911938.

It is not an unprimeable number, because it can be changed into a prime (506911931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66508 + ... + 73736.

It is an arithmetic number, because the mean of its divisors is an integer number (18219600).

Almost surely, 2^506911938 is an apocalyptic number.

506911938 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506911938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583027200).

506911938 is an abundant number, since it is smaller than the sum of its proper divisors (659142462).

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

506911938 is a wasteful number, since it uses less digits than its factorization.

506911938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307.

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 506911938 is about 22514.7049281131. The cubic root of 506911938 is about 797.3411405816.

The spelling of 506911938 in words is "five hundred six million, nine hundred eleven thousand, nine hundred thirty-eight".