506252376 has 128 divisors (see below), whose sum is σ = 1616486400. Its totient is φ = 143804160.

The previous prime is 506252363. The next prime is 506252377. The reversal of 506252376 is 673252605.

It is a happy number.

506252376 is a `hidden beast` number, since 5 + 0 + 62 + 523 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 506252376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506252377) 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, 287916 + ... + 289668.

It is an arithmetic number, because the mean of its divisors is an integer number (12628800).

Almost surely, 2^506252376 is an apocalyptic number.

506252376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506252376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808243200).

506252376 is an abundant number, since it is smaller than the sum of its proper divisors (1110234024).

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

506252376 is a wasteful number, since it uses less digits than its factorization.

506252376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 506252376 is about 22500.0527999380. The cubic root of 506252376 is about 796.9951737377.

The spelling of 506252376 in words is "five hundred six million, two hundred fifty-two thousand, three hundred seventy-six".