413432200 has 48 divisors (see below), whose sum is σ = 963258660. Its totient is φ = 165024000.

The previous prime is 413432189. The next prime is 413432263. The reversal of 413432200 is 2234314.

It can be written as a sum of positive squares in 6 ways, for example, as 221831236 + 191600964 = 14894^2 + 13842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106290 + ... + 110110.

Almost surely, 2^413432200 is an apocalyptic number.

413432200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413432200 is an abundant number, since it is smaller than the sum of its proper divisors (549826460).

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

413432200 is a wasteful number, since it uses less digits than its factorization.

413432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 413432200 is about 20333.0322382079. The cubic root of 413432200 is about 744.9631079430.

Adding to 413432200 its reverse (2234314), we get a palindrome (415666514).

The spelling of 413432200 in words is "four hundred thirteen million, four hundred thirty-two thousand, two hundred".