414094032 has 200 divisors, whose sum is σ = 1351080192. Its totient is φ = 121305600.

The previous prime is 414094003. The next prime is 414094039. The reversal of 414094032 is 230490414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414093987 and 414094005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414094039) 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 39 ways as a sum of consecutive naturals, for example, 441468 + ... + 442404.

Almost surely, 2^414094032 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 414094032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675540096).

414094032 is an abundant number, since it is smaller than the sum of its proper divisors (936986160).

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

414094032 is a wasteful number, since it uses less digits than its factorization.

414094032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 414094032 is about 20349.3005285194. The cubic root of 414094032 is about 745.3604141737.

The spelling of 414094032 in words is "four hundred fourteen million, ninety-four thousand, thirty-two".