433251252 has 72 divisors (see below), whose sum is σ = 1255363200. Its totient is φ = 123415488.

The previous prime is 433251251. The next prime is 433251263. The reversal of 433251252 is 252152334.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433251251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88074 + ... + 92862.

It is an arithmetic number, because the mean of its divisors is an integer number (17435600).

Almost surely, 2^433251252 is an apocalyptic number.

433251252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433251252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627681600).

433251252 is an abundant number, since it is smaller than the sum of its proper divisors (822111948).

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

433251252 is a wasteful number, since it uses less digits than its factorization.

433251252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5160 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 433251252 is about 20814.6883714362. The cubic root of 433251252 is about 756.6817776830.

The spelling of 433251252 in words is "four hundred thirty-three million, two hundred fifty-one thousand, two hundred fifty-two".