414432252 has 72 divisors (see below), whose sum is σ = 1145101776. Its totient is φ = 125604864.

The previous prime is 414432233. The next prime is 414432257. The reversal of 414432252 is 252234414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414432257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24748 + ... + 37964.

Almost surely, 2^414432252 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 414432252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572550888).

414432252 is an abundant number, since it is smaller than the sum of its proper divisors (730669524).

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

414432252 is a wasteful number, since it uses less digits than its factorization.

414432252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13307 (or 13302 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 414432252 is about 20357.6091916512. The cubic root of 414432252 is about 745.5632885421.

Adding to 414432252 its reverse (252234414), we get a palindrome (666666666).

The spelling of 414432252 in words is "four hundred fourteen million, four hundred thirty-two thousand, two hundred fifty-two".