415113444 has 96 divisors (see below), whose sum is σ = 1146096000. Its totient is φ = 129558528.

The previous prime is 415113383. The next prime is 415113451. The reversal of 415113444 is 444311514.

It is a super-2 number, since 2×415113444² = 344638342779082272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 181492 + ... + 183764.

It is an arithmetic number, because the mean of its divisors is an integer number (11938500).

Almost surely, 2^415113444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573048000).

415113444 is an abundant number, since it is smaller than the sum of its proper divisors (730982556).

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

415113444 is a wasteful number, since it uses less digits than its factorization.

415113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2386 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 415113444 is about 20374.3329706766. The cubic root of 415113444 is about 745.9715528927.

Adding to 415113444 its reverse (444311514), we get a palindrome (859424958).

The spelling of 415113444 in words is "four hundred fifteen million, one hundred thirteen thousand, four hundred forty-four".