414330000 has 200 divisors, whose sum is σ = 1529360448. Its totient is φ = 94656000.

The previous prime is 414329987. The next prime is 414330011. The reversal of 414330000 is 33414.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209014 + ... + 210986.

Almost surely, 2^414330000 is an apocalyptic number.

414330000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764680224).

414330000 is an abundant number, since it is smaller than the sum of its proper divisors (1115030448).

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

414330000 is a wasteful number, since it uses less digits than its factorization.

414330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 414330000 is about 20355.0976416228. The cubic root of 414330000 is about 745.5019664099.

Adding to 414330000 its reverse (33414), we get a palindrome (414363414).

It can be divided in two parts, 4143 and 30000, that added together give a palindrome (34143).

The spelling of 414330000 in words is "four hundred fourteen million, three hundred thirty thousand".