414513198 has 48 divisors (see below), whose sum is σ = 1003674672. Its totient is φ = 122544000.

The previous prime is 414513181. The next prime is 414513223. The reversal of 414513198 is 891315414.

414513198 is a `hidden beast` number, since 414 + 51 + 3 + 198 = 666.

It is a congruent number.

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, 17413 + ... + 33648.

It is an arithmetic number, because the mean of its divisors is an integer number (20909889).

Almost surely, 2^414513198 is an apocalyptic number.

414513198 is an abundant number, since it is smaller than the sum of its proper divisors (589161474).

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

414513198 is a wasteful number, since it uses less digits than its factorization.

414513198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51121 (or 51118 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 414513198 is about 20359.5971964084. The cubic root of 414513198 is about 745.6118259785.

The spelling of 414513198 in words is "four hundred fourteen million, five hundred thirteen thousand, one hundred ninety-eight".