414150 has 48 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 100000.

The previous prime is 414131. The next prime is 414157. The reversal of 414150 is 51414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414150.

It is not an unprimeable number, because it can be changed into a prime (414157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1525 + ... + 1775.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁴¹⁴¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

414150 is an abundant number, since it is smaller than the sum of its proper divisors (710778).

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

414150 is a wasteful number, since it uses less digits than its factorization.

414150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 414150 is about 643.5448702305. The cubic root of 414150 is about 74.5393993063.

Adding to 414150 its reverse (51414), we get a palindrome (465564).

The spelling of 414150 in words is "four hundred fourteen thousand, one hundred fifty".