414323052 has 96 divisors (see below), whose sum is σ = 1149845760. Its totient is φ = 114458880.

The previous prime is 414323047. The next prime is 414323053. The reversal of 414323052 is 250323414.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (414323053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140974 + ... + 143882.

It is an arithmetic number, because the mean of its divisors is an integer number (11977560).

Almost surely, 2^414323052 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 414323052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574922880).

414323052 is an abundant number, since it is smaller than the sum of its proper divisors (735522708).

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

414323052 is a wasteful number, since it uses less digits than its factorization.

414323052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 414323052 is about 20354.9269711291. The cubic root of 414323052 is about 745.4977992190.

Adding to 414323052 its reverse (250323414), we get a palindrome (664646466).

The spelling of 414323052 in words is "four hundred fourteen million, three hundred twenty-three thousand, fifty-two".