414638136 has 192 divisors, whose sum is σ = 1300032000. Its totient is φ = 121417920.

The previous prime is 414638129. The next prime is 414638137. The reversal of 414638136 is 631836414.

It is a happy number.

414638136 is a `hidden beast` number, since 4 + 1 + 4 + 638 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414638136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414638137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5248545 + ... + 5248623.

It is an arithmetic number, because the mean of its divisors is an integer number (6771000).

Almost surely, 2^414638136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414638136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650016000).

414638136 is an abundant number, since it is smaller than the sum of its proper divisors (885393864).

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

414638136 is a wasteful number, since it uses less digits than its factorization.

414638136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 142 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 414638136 is about 20362.6652479483. The cubic root of 414638136 is about 745.6867298200.

The spelling of 414638136 in words is "four hundred fourteen million, six hundred thirty-eight thousand, one hundred thirty-six".