511414240 has 72 divisors (see below), whose sum is σ = 1229777640. Its totient is φ = 200977920.

The previous prime is 511414201. The next prime is 511414249. The reversal of 511414240 is 42414115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511414249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594931 + ... + 595789.

It is an arithmetic number, because the mean of its divisors is an integer number (17080245).

Almost surely, 2^511414240 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 511414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614888820).

511414240 is an abundant number, since it is smaller than the sum of its proper divisors (718363400).

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

511414240 is an equidigital number, since it uses as much as digits as its factorization.

511414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 511414240 is about 22614.4697041518. The cubic root of 511414240 is about 799.6948002479.

Adding to 511414240 its reverse (42414115), we get a palindrome (553828355).

The spelling of 511414240 in words is "five hundred eleven million, four hundred fourteen thousand, two hundred forty".