511230240 has 144 divisors (see below), whose sum is σ = 1764617400. Its totient is φ = 134762496.

The previous prime is 511230211. The next prime is 511230259. The reversal of 511230240 is 42032115.

It can be written as a sum of positive squares in 4 ways, for example, as 327031056 + 184199184 = 18084^2 + 13572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×511230240² = 522712716580915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126166 + ... + 130154.

Almost surely, 2^511230240 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 511230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882308700).

511230240 is an abundant number, since it is smaller than the sum of its proper divisors (1253387160).

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

511230240 is a wasteful number, since it uses less digits than its factorization.

511230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 511230240 is about 22610.4011463751. The cubic root of 511230240 is about 799.5988822476.

Adding to 511230240 its reverse (42032115), we get a palindrome (553262355).

The spelling of 511230240 in words is "five hundred eleven million, two hundred thirty thousand, two hundred forty".