506145640 has 128 divisors (see below), whose sum is σ = 1529176320. Its totient is φ = 145612800.

The previous prime is 506145623. The next prime is 506145721. The reversal of 506145640 is 46541605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33720 + ... + 46360.

It is an arithmetic number, because the mean of its divisors is an integer number (11946690).

Almost surely, 2^506145640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506145640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764588160).

506145640 is an abundant number, since it is smaller than the sum of its proper divisors (1023030680).

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

506145640 is a wasteful number, since it uses less digits than its factorization.

506145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683 (or 12679 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 506145640 is about 22497.6807693593. The cubic root of 506145640 is about 796.9391581613.

The spelling of 506145640 in words is "five hundred six million, one hundred forty-five thousand, six hundred forty".