514022432 has 96 divisors (see below), whose sum is σ = 1268628480. Its totient is φ = 199169280.

The previous prime is 514022413. The next prime is 514022441. The reversal of 514022432 is 234220415.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 514022398 and 514022407.

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, 558869 + ... + 559787.

It is an arithmetic number, because the mean of its divisors is an integer number (13214880).

Almost surely, 2^514022432 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 514022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634314240).

514022432 is an abundant number, since it is smaller than the sum of its proper divisors (754606048).

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

514022432 is a wasteful number, since it uses less digits than its factorization.

514022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 514022432 is about 22672.0628086639. The cubic root of 514022432 is about 801.0519661028.

Adding to 514022432 its reverse (234220415), we get a palindrome (748242847).

It can be divided in two parts, 5140 and 22432, that added together give a palindrome (27572).

The spelling of 514022432 in words is "five hundred fourteen million, twenty-two thousand, four hundred thirty-two".