414424040 has 32 divisors (see below), whose sum is σ = 935919360. Its totient is φ = 165153600.

The previous prime is 414424039. The next prime is 414424069. The reversal of 414424040 is 40424414.

414424040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 414423997 and 414424015.

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, 8276 + ... + 29955.

It is an arithmetic number, because the mean of its divisors is an integer number (29247480).

Almost surely, 2^414424040 is an apocalyptic number.

414424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414424040 is an abundant number, since it is smaller than the sum of its proper divisors (521495320).

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

414424040 is a wasteful number, since it uses less digits than its factorization.

414424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38513 (or 38509 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 414424040 is about 20357.4074970267. The cubic root of 414424040 is about 745.5583640491.

Adding to 414424040 its reverse (40424414), we get a palindrome (454848454).

The spelling of 414424040 in words is "four hundred fourteen million, four hundred twenty-four thousand, forty".