414010032 has 40 divisors (see below), whose sum is σ = 1106409840. Its totient is φ = 133244160.

The previous prime is 414010031. The next prime is 414010067. The reversal of 414010032 is 230010414.

It is a junction number, because it is equal to n+sod(n) for n = 414009993 and 414010020.

It is not an unprimeable number, because it can be changed into a prime (414010031) 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, 147319 + ... + 150102.

It is an arithmetic number, because the mean of its divisors is an integer number (27660246).

Almost surely, 2^414010032 is an apocalyptic number.

It is an amenable number.

414010032 is an abundant number, since it is smaller than the sum of its proper divisors (692399808).

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

414010032 is a wasteful number, since it uses less digits than its factorization.

414010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297461 (or 297455 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 414010032 is about 20347.2364708331. The cubic root of 414010032 is about 745.3100113634.

Adding to 414010032 its reverse (230010414), we get a palindrome (644020446).

The spelling of 414010032 in words is "four hundred fourteen million, ten thousand, thirty-two".