414120906 has 48 divisors (see below), whose sum is σ = 917070336. Its totient is φ = 135009888.

The previous prime is 414120881. The next prime is 414120913. The reversal of 414120906 is 609021414.

It is a super-2 number, since 2×414120906² = 342992249572521672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414120906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479431 + ... + 480293.

It is an arithmetic number, because the mean of its divisors is an integer number (19105632).

Almost surely, 2^414120906 is an apocalyptic number.

414120906 is an abundant number, since it is smaller than the sum of its proper divisors (502949430).

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

414120906 is a wasteful number, since it uses less digits than its factorization.

414120906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 414120906 is about 20349.9608353431. The cubic root of 414120906 is about 745.3765380336.

The spelling of 414120906 in words is "four hundred fourteen million, one hundred twenty thousand, nine hundred six".