413430400 has 48 divisors (see below), whose sum is σ = 1021310190. Its totient is φ = 165370880.

The previous prime is 413430389. The next prime is 413430419. The reversal of 413430400 is 4034314.

It can be written as a sum of positive squares in 3 ways, for example, as 355548736 + 57881664 = 18856^2 + 7608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61399 + ... + 67798.

Almost surely, 2^413430400 is an apocalyptic number.

413430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413430400 is an abundant number, since it is smaller than the sum of its proper divisors (607879790).

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

413430400 is a wasteful number, since it uses less digits than its factorization.

413430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129221 (or 129204 counting only the distinct ones).

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

The square root of 413430400 is about 20332.9879752092. The cubic root of 413430400 is about 744.9620268020.

Adding to 413430400 its reverse (4034314), we get a palindrome (417464714).

The spelling of 413430400 in words is "four hundred thirteen million, four hundred thirty thousand, four hundred".