413432144 has 10 divisors (see below), whose sum is σ = 801024810. Its totient is φ = 206716064.

The previous prime is 413432141. The next prime is 413432177. The reversal of 413432144 is 441234314.

It can be written as a sum of positive squares in only one way, i.e., 365268544 + 48163600 = 19112^2 + 6940^2 .

It is a super-2 number, since 2×413432144² = 341852275384873472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413432141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12919739 + ... + 12919770.

It is an arithmetic number, because the mean of its divisors is an integer number (80102481).

Almost surely, 2^413432144 is an apocalyptic number.

It is an amenable number.

413432144 is a deficient number, since it is larger than the sum of its proper divisors (387592666).

413432144 is a wasteful number, since it uses less digits than its factorization.

413432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25839517 (or 25839511 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 413432144 is about 20333.0308611382. The cubic root of 413432144 is about 744.9630743075.

Adding to 413432144 its reverse (441234314), we get a palindrome (854666458).

The spelling of 413432144 in words is "four hundred thirteen million, four hundred thirty-two thousand, one hundred forty-four".