514230144 has 128 divisors (see below), whose sum is σ = 1486058400. Its totient is φ = 156893184.

The previous prime is 514230133. The next prime is 514230169. The reversal of 514230144 is 441032415.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240472 + ... + 242600.

Almost surely, 2^514230144 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 514230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743029200).

514230144 is an abundant number, since it is smaller than the sum of its proper divisors (971828256).

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

514230144 is a wasteful number, since it uses less digits than its factorization.

514230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 514230144 is about 22676.6431378191. The cubic root of 514230144 is about 801.1598509529.

Adding to 514230144 its reverse (441032415), we get a palindrome (955262559).

It can be divided in two parts, 51 and 4230144, that multiplied together give a square (215737344 = 14688²).

The spelling of 514230144 in words is "five hundred fourteen million, two hundred thirty thousand, one hundred forty-four".