413415440 has 20 divisors (see below), whose sum is σ = 961191084. Its totient is φ = 165366144.

The previous prime is 413415437. The next prime is 413415461. The reversal of 413415440 is 44514314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 160478224 + 252937216 = 12668^2 + 15904^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2583767 + ... + 2583926.

Almost surely, 2^413415440 is an apocalyptic number.

413415440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413415440 is an abundant number, since it is smaller than the sum of its proper divisors (547775644).

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

413415440 is a wasteful number, since it uses less digits than its factorization.

413415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167706 (or 5167700 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 413415440 is about 20332.6200967804. The cubic root of 413415440 is about 744.9530411973.

Adding to 413415440 its reverse (44514314), we get a palindrome (457929754).

The spelling of 413415440 in words is "four hundred thirteen million, four hundred fifteen thousand, four hundred forty".