431204400 has 180 divisors, whose sum is σ = 1632585240. Its totient is φ = 104524800.

The previous prime is 431204381. The next prime is 431204419. The reversal of 431204400 is 4402134.

It is an interprime number because it is at equal distance from previous prime (431204381) and next prime (431204419).

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 34156 + ... + 45044.

It is an arithmetic number, because the mean of its divisors is an integer number (9069918).

Almost surely, 2^431204400 is an apocalyptic number.

431204400 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 431204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816292620).

431204400 is an abundant number, since it is smaller than the sum of its proper divisors (1201380840).

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

431204400 is a wasteful number, since it uses less digits than its factorization.

431204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924 (or 10910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 431204400 is about 20765.4617092903. The cubic root of 431204400 is about 755.4882738371.

Adding to 431204400 its reverse (4402134), we get a palindrome (435606534).

The spelling of 431204400 in words is "four hundred thirty-one million, two hundred four thousand, four hundred".