414334140 has 288 divisors, whose sum is σ = 1401007104. Its totient is φ = 90616320.

The previous prime is 414334139. The next prime is 414334153. The reversal of 414334140 is 41433414.

It is a self number, because there is not a number n which added to its sum of digits gives 414334140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8815597 + ... + 8815643.

It is an arithmetic number, because the mean of its divisors is an integer number (4864608).

Almost surely, 2^414334140 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 414334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700503552).

414334140 is an abundant number, since it is smaller than the sum of its proper divisors (986672964).

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

414334140 is a wasteful number, since it uses less digits than its factorization.

414334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 414334140 is about 20355.1993357962. The cubic root of 414334140 is about 745.5044494290.

Adding to 414334140 its reverse (41433414), we get a palindrome (455767554).

It can be divided in two parts, 4143 and 34140, that added together give a palindrome (38283).

The spelling of 414334140 in words is "four hundred fourteen million, three hundred thirty-four thousand, one hundred forty".