506543440 has 160 divisors (see below), whose sum is σ = 1330914816. Its totient is φ = 178053120.

The previous prime is 506543413. The next prime is 506543447. The reversal of 506543440 is 44345605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506543447) 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, 2101720 + ... + 2101960.

Almost surely, 2^506543440 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 506543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

506543440 is an abundant number, since it is smaller than the sum of its proper divisors (824371376).

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

506543440 is a wasteful number, since it uses less digits than its factorization.

506543440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 506543440 is about 22506.5199442295. The cubic root of 506543440 is about 797.1478855543.

The spelling of 506543440 in words is "five hundred six million, five hundred forty-three thousand, four hundred forty".