413445040 has 40 divisors (see below), whose sum is σ = 971187840. Its totient is φ = 163670016.

The previous prime is 413445029. The next prime is 413445059. The reversal of 413445040 is 40544314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×413445040² = 341873602201203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413444996 and 413445014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18880 + ... + 34399.

It is an arithmetic number, because the mean of its divisors is an integer number (24279696).

Almost surely, 2^413445040 is an apocalyptic number.

413445040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413445040 is an abundant number, since it is smaller than the sum of its proper divisors (557742800).

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

413445040 is a wasteful number, since it uses less digits than its factorization.

413445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53389 (or 53383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 413445040 is about 20333.3479781368. The cubic root of 413445040 is about 744.9708199913.

Adding to 413445040 its reverse (40544314), we get a palindrome (453989354).

The spelling of 413445040 in words is "four hundred thirteen million, four hundred forty-five thousand, forty".