413440440 has 96 divisors (see below), whose sum is σ = 1442843280. Its totient is φ = 94499328.

The previous prime is 413440421. The next prime is 413440441. The reversal of 413440440 is 44044314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413440440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413440441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29277 + ... + 41036.

Almost surely, 2^413440440 is an apocalyptic number.

413440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413440440 is an abundant number, since it is smaller than the sum of its proper divisors (1029402840).

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

413440440 is a wasteful number, since it uses less digits than its factorization.

413440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70341 (or 70330 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 413440440 is about 20333.2348631495. The cubic root of 413440440 is about 744.9680571263.

Adding to 413440440 its reverse (44044314), we get a palindrome (457484754).

The spelling of 413440440 in words is "four hundred thirteen million, four hundred forty thousand, four hundred forty".