431440100 has 162 divisors, whose sum is σ = 1181561094. Its totient is φ = 136281600.

The previous prime is 431440081. The next prime is 431440103. The reversal of 431440100 is 1044134.

It can be written as a sum of positive squares in 9 ways, for example, as 319122496 + 112317604 = 17864^2 + 10598^2 .

It is a super-2 number, since 2×431440100² = 372281119776020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431440103) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 827840 + ... + 828360.

It is an arithmetic number, because the mean of its divisors is an integer number (7293587).

Almost surely, 2^431440100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590780547).

431440100 is an abundant number, since it is smaller than the sum of its proper divisors (750120994).

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

431440100 is a wasteful number, since it uses less digits than its factorization.

431440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 431440100 is about 20771.1362231343. The cubic root of 431440100 is about 755.6259008738.

Adding to 431440100 its reverse (1044134), we get a palindrome (432484234).

The spelling of 431440100 in words is "four hundred thirty-one million, four hundred forty thousand, one hundred".