514038420 has 144 divisors (see below), whose sum is σ = 1860425280. Its totient is φ = 117488448.

The previous prime is 514038419. The next prime is 514038449. The reversal of 514038420 is 24830415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16747 + ... + 36173.

It is an arithmetic number, because the mean of its divisors is an integer number (12919620).

Almost surely, 2^514038420 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 514038420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930212640).

514038420 is an abundant number, since it is smaller than the sum of its proper divisors (1346386860).

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

514038420 is a wasteful number, since it uses less digits than its factorization.

514038420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19459 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 514038420 is about 22672.4153984528. The cubic root of 514038420 is about 801.0602712436.

Adding to 514038420 its reverse (24830415), we get a palindrome (538868835).

The spelling of 514038420 in words is "five hundred fourteen million, thirty-eight thousand, four hundred twenty".