414332144 has 40 divisors (see below), whose sum is σ = 816778080. Its totient is φ = 203571200.

The previous prime is 414332137. The next prime is 414332147. The reversal of 414332144 is 441233414.

It is a super-2 number, since 2×414332144² = 343342251103273472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414332147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646064 + ... + 646704.

It is an arithmetic number, because the mean of its divisors is an integer number (20419452).

Almost surely, 2^414332144 is an apocalyptic number.

It is an amenable number.

414332144 is a deficient number, since it is larger than the sum of its proper divisors (402445936).

414332144 is a wasteful number, since it uses less digits than its factorization.

414332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 414332144 is about 20355.1503064949. The cubic root of 414332144 is about 745.5032523040.

Adding to 414332144 its reverse (441233414), we get a palindrome (855565558).

The spelling of 414332144 in words is "four hundred fourteen million, three hundred thirty-two thousand, one hundred forty-four".