431303400 has 384 divisors, whose sum is σ = 1663286400. Its totient is φ = 101836800.

The previous prime is 431303381. The next prime is 431303407. The reversal of 431303400 is 4303134.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (431303407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3148132 + ... + 3148268.

It is an arithmetic number, because the mean of its divisors is an integer number (4331475).

Almost surely, 2^431303400 is an apocalyptic number.

431303400 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 431303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831643200).

431303400 is an abundant number, since it is smaller than the sum of its proper divisors (1231983000).

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

431303400 is a wasteful number, since it uses less digits than its factorization.

431303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 431303400 is about 20767.8453384072. The cubic root of 431303400 is about 755.5460868030.

Adding to 431303400 its reverse (4303134), we get a palindrome (435606534).

The spelling of 431303400 in words is "four hundred thirty-one million, three hundred three thousand, four hundred".