414098685 has 192 divisors, whose sum is σ = 1000097280. Its totient is φ = 152893440.

The previous prime is 414098681. The next prime is 414098719. The reversal of 414098685 is 586890414.

It is not a de Polignac number, because 414098685 - 2² = 414098681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 414098685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414098681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1306147 + ... + 1306463.

It is an arithmetic number, because the mean of its divisors is an integer number (5208840).

Almost surely, 2^414098685 is an apocalyptic number.

414098685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414098685 is an abundant number, since it is smaller than the sum of its proper divisors (585998595).

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

414098685 is a wasteful number, since it uses less digits than its factorization.

414098685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 414098685 is about 20349.4148564523. The cubic root of 414098685 is about 745.3632059301.

The spelling of 414098685 in words is "four hundred fourteen million, ninety-eight thousand, six hundred eighty-five".