431412100 has 144 divisors (see below), whose sum is σ = 1138816000. Its totient is φ = 138568320.

The previous prime is 431412083. The next prime is 431412133. The reversal of 431412100 is 1214134.

It is a super-2 number, since 2×431412100² = 372232800052820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167801 + ... + 2167999.

Almost surely, 2^431412100 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 431412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569408000).

431412100 is an abundant number, since it is smaller than the sum of its proper divisors (707403900).

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

431412100 is a wasteful number, since it uses less digits than its factorization.

431412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 431412100 is about 20770.4621999608. The cubic root of 431412100 is about 755.6095540832.

Adding to 431412100 its reverse (1214134), we get a palindrome (432626234).

The spelling of 431412100 in words is "four hundred thirty-one million, four hundred twelve thousand, one hundred".