420400414 has 16 divisors (see below), whose sum is σ = 745538400. Its totient is φ = 173958624.

The previous prime is 420400397. The next prime is 420400427. The reversal of 420400414 is 414004024.

It is a junction number, because it is equal to n+sod(n) for n = 420400391 and 420400400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517329 + ... + 518140.

It is an arithmetic number, because the mean of its divisors is an integer number (46596150).

Almost surely, 2^420400414 is an apocalyptic number.

420400414 is a deficient number, since it is larger than the sum of its proper divisors (325137986).

420400414 is a wasteful number, since it uses less digits than its factorization.

420400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035507.

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 420400414 is about 20503.6683059398. The cubic root of 420400414 is about 749.1251511754.

Adding to 420400414 its reverse (414004024), we get a palindrome (834404438).

The spelling of 420400414 in words is "four hundred twenty million, four hundred thousand, four hundred fourteen".