414184428 has 240 divisors, whose sum is σ = 1316603904. Its totient is φ = 111041280.

The previous prime is 414184399. The next prime is 414184429. The reversal of 414184428 is 824481414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414184392 and 414184401.

It is not an unprimeable number, because it can be changed into a prime (414184429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3023176 + ... + 3023312.

Almost surely, 2^414184428 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 414184428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658301952).

414184428 is an abundant number, since it is smaller than the sum of its proper divisors (902419476).

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

414184428 is a wasteful number, since it uses less digits than its factorization.

414184428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 414184428 is about 20351.5215156017. The cubic root of 414184428 is about 745.4146471841.

The spelling of 414184428 in words is "four hundred fourteen million, one hundred eighty-four thousand, four hundred twenty-eight".