414001323 has 48 divisors (see below), whose sum is σ = 649973376. Its totient is φ = 252979200.

The previous prime is 414001321. The next prime is 414001351. The reversal of 414001323 is 323100414.

It is not a de Polignac number, because 414001323 - 2¹ = 414001321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414001296 and 414001305.

It is not an unprimeable number, because it can be changed into a prime (414001321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127886 + ... + 1128252.

It is an arithmetic number, because the mean of its divisors is an integer number (13541112).

Almost surely, 2^414001323 is an apocalyptic number.

414001323 is a deficient number, since it is larger than the sum of its proper divisors (235972053).

414001323 is a wasteful number, since it uses less digits than its factorization.

414001323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 414001323 is about 20347.0224603012. The cubic root of 414001323 is about 745.3047852820.

Adding to 414001323 its reverse (323100414), we get a palindrome (737101737).

Subtracting from 414001323 its reverse (323100414), we obtain a palindrome (90900909).

The spelling of 414001323 in words is "four hundred fourteen million, one thousand, three hundred twenty-three".