506129040 has 80 divisors (see below), whose sum is σ = 1743340800. Its totient is φ = 134967168.

The previous prime is 506129021. The next prime is 506129059. The reversal of 506129040 is 40921605.

506129040 is a `hidden beast` number, since 5 + 0 + 612 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (506129021) and next prime (506129059).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 506128995 and 506129013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115000 + ... + 119319.

It is an arithmetic number, because the mean of its divisors is an integer number (21791760).

Almost surely, 2^506129040 is an apocalyptic number.

It is an amenable number.

506129040 is an abundant number, since it is smaller than the sum of its proper divisors (1237211760).

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

506129040 is a wasteful number, since it uses less digits than its factorization.

506129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234341 (or 234329 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 506129040 is about 22497.3118394176. The cubic root of 506129040 is about 796.9304456922.

The spelling of 506129040 in words is "five hundred six million, one hundred twenty-nine thousand, forty".