413400441 has 16 divisors (see below), whose sum is σ = 584064000. Its totient is φ = 259193088.

The previous prime is 413400419. The next prime is 413400497. The reversal of 413400441 is 144004314.

It is not a de Polignac number, because 413400441 - 2¹⁷ = 413269369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413400041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97320 + ... + 101478.

It is an arithmetic number, because the mean of its divisors is an integer number (36504000).

Almost surely, 2^413400441 is an apocalyptic number.

It is an amenable number.

413400441 is a deficient number, since it is larger than the sum of its proper divisors (170663559).

413400441 is a wasteful number, since it uses less digits than its factorization.

413400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 413400441 is about 20332.2512526282. The cubic root of 413400441 is about 744.9440319500.

Adding to 413400441 its reverse (144004314), we get a palindrome (557404755).

The spelling of 413400441 in words is "four hundred thirteen million, four hundred thousand, four hundred forty-one".