414944106 has 16 divisors (see below), whose sum is σ = 847545984. Its totient is φ = 135371744.

The previous prime is 414944099. The next prime is 414944111. The reversal of 414944106 is 601449414.

It is a super-3 number, since 3×414944106³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 735435 + ... + 735998.

It is an arithmetic number, because the mean of its divisors is an integer number (52971624).

Almost surely, 2^414944106 is an apocalyptic number.

414944106 is an abundant number, since it is smaller than the sum of its proper divisors (432601878).

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

414944106 is a wasteful number, since it uses less digits than its factorization.

414944106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471485.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 414944106 is about 20370.1768769935. The cubic root of 414944106 is about 745.8701039086.

The spelling of 414944106 in words is "four hundred fourteen million, nine hundred forty-four thousand, one hundred six".