433125400 has 72 divisors (see below), whose sum is σ = 1022864220. Its totient is φ = 170564160.

The previous prime is 433125391. The next prime is 433125401. The reversal of 433125400 is 4521334.

It is a super-2 number, since 2×433125400² = 375195224250320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433125401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1248027 + ... + 1248373.

Almost surely, 2^433125400 is an apocalyptic number.

433125400 is a gapful number since it is divisible by the number (40) 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 433125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511432110).

433125400 is an abundant number, since it is smaller than the sum of its proper divisors (589738820).

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

433125400 is a wasteful number, since it uses less digits than its factorization.

433125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 433125400 is about 20811.6649982648. The cubic root of 433125400 is about 756.6085029284.

Adding to 433125400 its reverse (4521334), we get a palindrome (437646734).

The spelling of 433125400 in words is "four hundred thirty-three million, one hundred twenty-five thousand, four hundred".