431421200 has 60 divisors (see below), whose sum is σ = 1184567040. Its totient is φ = 147914880.

The previous prime is 431421191. The next prime is 431421209. The reversal of 431421200 is 2124134.

It is an interprime number because it is at equal distance from previous prime (431421191) and next prime (431421209).

It is a super-2 number, since 2×431421200² = 372248503618880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431421209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74240 + ... + 79839.

It is an arithmetic number, because the mean of its divisors is an integer number (19742784).

Almost surely, 2^431421200 is an apocalyptic number.

431421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431421200 is an abundant number, since it is smaller than the sum of its proper divisors (753145840).

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

431421200 is a wasteful number, since it uses less digits than its factorization.

431421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154104 (or 154093 counting only the distinct ones).

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

The square root of 431421200 is about 20770.6812598913. The cubic root of 431421200 is about 755.6148668677.

Adding to 431421200 its reverse (2124134), we get a palindrome (433545334).

It can be divided in two parts, 43142 and 1200, that multiplied together give a triangular number (51770400 = T₁₀₁₇₅).

The spelling of 431421200 in words is "four hundred thirty-one million, four hundred twenty-one thousand, two hundred".