414401432 has 64 divisors (see below), whose sum is σ = 819957600. Its totient is φ = 196162560.

The previous prime is 414401423. The next prime is 414401437. The reversal of 414401432 is 234104414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 414401398 and 414401407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414401437) by changing a digit.

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, 2395298 + ... + 2395470.

Almost surely, 2^414401432 is an apocalyptic number.

It is an amenable number.

414401432 is a deficient number, since it is larger than the sum of its proper divisors (405556168).

414401432 is a wasteful number, since it uses less digits than its factorization.

414401432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 414401432 is about 20356.8522124615. The cubic root of 414401432 is about 745.5448063655.

Adding to 414401432 its reverse (234104414), we get a palindrome (648505846).

The spelling of 414401432 in words is "four hundred fourteen million, four hundred one thousand, four hundred thirty-two".