413440104 has 128 divisors (see below), whose sum is σ = 1294156800. Its totient is φ = 106928640.

The previous prime is 413440073. The next prime is 413440123. The reversal of 413440104 is 401044314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755559 + ... + 756105.

It is an arithmetic number, because the mean of its divisors is an integer number (10110600).

Almost surely, 2^413440104 is an apocalyptic number.

413440104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647078400).

413440104 is an abundant number, since it is smaller than the sum of its proper divisors (880716696).

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

413440104 is a wasteful number, since it uses less digits than its factorization.

413440104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 979 counting only the distinct ones).

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

The square root of 413440104 is about 20333.2266008128. The cubic root of 413440104 is about 744.9678553162.

Adding to 413440104 its reverse (401044314), we get a palindrome (814484418).

The spelling of 413440104 in words is "four hundred thirteen million, four hundred forty thousand, one hundred four".