4002414 has 48 divisors (see below), whose sum is σ = 9104592. Its totient is φ = 1165824.

The previous prime is 4002403. The next prime is 4002431. The reversal of 4002414 is 4142004.

It is a junction number, because it is equal to n+sod(n) for n = 4002393 and 4002402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41214 + ... + 41310.

It is an arithmetic number, because the mean of its divisors is an integer number (189679).

Almost surely, 2^4002414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552296).

4002414 is an abundant number, since it is smaller than the sum of its proper divisors (5102178).

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

4002414 is a wasteful number, since it uses less digits than its factorization.

4002414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4002414 is about 2000.6034089744. The cubic root of 4002414 is about 158.7720319929.

Adding to 4002414 its reverse (4142004), we get a palindrome (8144418).

The spelling of 4002414 in words is "four million, two thousand, four hundred fourteen".