414039330 has 128 divisors (see below), whose sum is σ = 1172067840. Its totient is φ = 103783680.

The previous prime is 414039323. The next prime is 414039349. The reversal of 414039330 is 33930414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414039294 and 414039303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378264 + ... + 379356.

It is an arithmetic number, because the mean of its divisors is an integer number (9156780).

Almost surely, 2^414039330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414039330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586033920).

414039330 is an abundant number, since it is smaller than the sum of its proper divisors (758028510).

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

414039330 is a wasteful number, since it uses less digits than its factorization.

414039330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 414039330 is about 20347.9564084455. The cubic root of 414039330 is about 745.3275919178.

Adding to 414039330 its reverse (33930414), we get a palindrome (447969744).

The spelling of 414039330 in words is "four hundred fourteen million, thirty-nine thousand, three hundred thirty".