506034240 has 224 divisors, whose sum is σ = 1723607424. Its totient is φ = 125337600.

The previous prime is 506034233. The next prime is 506034241. The reversal of 506034240 is 42430605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 506034240.

It is not an unprimeable number, because it can be changed into a prime (506034241) 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, 1648167 + ... + 1648473.

It is an arithmetic number, because the mean of its divisors is an integer number (7694676).

Almost surely, 2^506034240 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 506034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861803712).

506034240 is an abundant number, since it is smaller than the sum of its proper divisors (1217573184).

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

506034240 is a wasteful number, since it uses less digits than its factorization.

506034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 506034240 is about 22495.2048223616. The cubic root of 506034240 is about 796.8806864954.

Adding to 506034240 its reverse (42430605), we get a palindrome (548464845).

The spelling of 506034240 in words is "five hundred six million, thirty-four thousand, two hundred forty".