414004332 has 144 divisors (see below), whose sum is σ = 1206576000. Its totient is φ = 109767168.

The previous prime is 414004309. The next prime is 414004361. The reversal of 414004332 is 233400414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 414004299 and 414004308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829419 + ... + 829917.

It is an arithmetic number, because the mean of its divisors is an integer number (8379000).

Almost surely, 2^414004332 is an apocalyptic number.

414004332 is a gapful number since it is divisible by the number (42) 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 414004332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288000).

414004332 is an abundant number, since it is smaller than the sum of its proper divisors (792571668).

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

414004332 is a wasteful number, since it uses less digits than its factorization.

414004332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 414004332 is about 20347.0964021897. The cubic root of 414004332 is about 745.3065909257.

Adding to 414004332 its reverse (233400414), we get a palindrome (647404746).

The spelling of 414004332 in words is "four hundred fourteen million, four thousand, three hundred thirty-two".