506539440 has 160 divisors (see below), whose sum is σ = 1903449600. Its totient is φ = 122791680.

The previous prime is 506539417. The next prime is 506539447. The reversal of 506539440 is 44935605.

It is a happy number.

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 = 506539395 and 506539404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506539447) 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, 13101 + ... + 34419.

It is an arithmetic number, because the mean of its divisors is an integer number (11896560).

Almost surely, 2^506539440 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 506539440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951724800).

506539440 is an abundant number, since it is smaller than the sum of its proper divisors (1396910160).

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

506539440 is a wasteful number, since it uses less digits than its factorization.

506539440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21352 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 506539440 is about 22506.4310809155. The cubic root of 506539440 is about 797.1457872809.

The spelling of 506539440 in words is "five hundred six million, five hundred thirty-nine thousand, four hundred forty".