509440000 has 130 divisors (see below), whose sum is σ = 1279434200. Its totient is φ = 202752000.

The previous prime is 509439943. The next prime is 509440007. The reversal of 509440000 is 44905.

It is a super-2 number, since 2×509440000² = 519058227200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509440007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559901 + ... + 2560099.

Almost surely, 2^509440000 is an apocalyptic number.

509440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639717100).

509440000 is an abundant number, since it is smaller than the sum of its proper divisors (769994200).

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

509440000 is an frugal number, since it uses more digits than its factorization.

509440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 509440000 is about 22570.7775674654. Note that the first 3 decimals coincide. The cubic root of 509440000 is about 798.6644382510.

Adding to 509440000 its reverse (44905), we get a palindrome (509484905).

The spelling of 509440000 in words is "five hundred nine million, four hundred forty thousand".