431030400 has 192 divisors, whose sum is σ = 1445666400. Its totient is φ = 112844800.

The previous prime is 431030381. The next prime is 431030401. The reversal of 431030400 is 4030134.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 431030400.

It is not an unprimeable number, because it can be changed into a prime (431030401) 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, 566020 + ... + 566780.

Almost surely, 2^431030400 is an apocalyptic number.

431030400 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 431030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722833200).

431030400 is an abundant number, since it is smaller than the sum of its proper divisors (1014636000).

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

431030400 is a wasteful number, since it uses less digits than its factorization.

431030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 431030400 is about 20761.2716373540. The cubic root of 431030400 is about 755.3866417223.

Adding to 431030400 its reverse (4030134), we get a palindrome (435060534).

The spelling of 431030400 in words is "four hundred thirty-one million, thirty thousand, four hundred".