432253314 has 64 divisors (see below), whose sum is σ = 1001558400. Its totient is φ = 138055104.

The previous prime is 432253307. The next prime is 432253337. The reversal of 432253314 is 413352234.

432253314 is a `hidden beast` number, since 4 + 322 + 5 + 331 + 4 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132252 + ... + 135480.

It is an arithmetic number, because the mean of its divisors is an integer number (15649350).

Almost surely, 2^432253314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432253314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500779200).

432253314 is an abundant number, since it is smaller than the sum of its proper divisors (569305086).

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

432253314 is a wasteful number, since it uses less digits than its factorization.

432253314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3338 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 432253314 is about 20790.7025855309. The cubic root of 432253314 is about 756.1003583071.

The spelling of 432253314 in words is "four hundred thirty-two million, two hundred fifty-three thousand, three hundred fourteen".