431134400 has 84 divisors (see below), whose sum is σ = 1064974248. Its totient is φ = 171786240.

The previous prime is 431134373. The next prime is 431134409. The reversal of 431134400 is 4431134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (431134409) 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 11 ways as a sum of consecutive naturals, for example, 746912 + ... + 747488.

Almost surely, 2^431134400 is an apocalyptic number.

431134400 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 431134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532487124).

431134400 is an abundant number, since it is smaller than the sum of its proper divisors (633839848).

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

431134400 is a wasteful number, since it uses less digits than its factorization.

431134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 431134400 is about 20763.7761498240. The cubic root of 431134400 is about 755.4473906418.

Adding to 431134400 its reverse (4431134), we get a palindrome (435565534).

The spelling of 431134400 in words is "four hundred thirty-one million, one hundred thirty-four thousand, four hundred".