506157240 has 128 divisors (see below), whose sum is σ = 1556755200. Its totient is φ = 131619840.

The previous prime is 506157233. The next prime is 506157319. The reversal of 506157240 is 42751605.

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 = 506157198 and 506157207.

It is a congruent number.

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, 886155 + ... + 886725.

It is an arithmetic number, because the mean of its divisors is an integer number (12162150).

Almost surely, 2^506157240 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 506157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

506157240 is an abundant number, since it is smaller than the sum of its proper divisors (1050597960).

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

506157240 is a wasteful number, since it uses less digits than its factorization.

506157240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 506157240 is about 22497.9385722337. The cubic root of 506157240 is about 796.9452462796.

The spelling of 506157240 in words is "five hundred six million, one hundred fifty-seven thousand, two hundred forty".