506658240 has 280 divisors, whose sum is σ = 1967221872. Its totient is φ = 122757120.

The previous prime is 506658239. The next prime is 506658263. The reversal of 506658240 is 42856605.

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

It is a junction number, because it is equal to n+sod(n) for n = 506658195 and 506658204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284232 + ... + 286008.

Almost surely, 2^506658240 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 506658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983610936).

506658240 is an abundant number, since it is smaller than the sum of its proper divisors (1460563632).

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

506658240 is a wasteful number, since it uses less digits than its factorization.

506658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 506658240 is about 22509.0701718218. The cubic root of 506658240 is about 797.2081012947.

The spelling of 506658240 in words is "five hundred six million, six hundred fifty-eight thousand, two hundred forty".