415407344 has 40 divisors (see below), whose sum is σ = 886751280. Its totient is φ = 186944000.

The previous prime is 415407337. The next prime is 415407361. The reversal of 415407344 is 443704514.

It is a super-2 number, since 2×415407344² = 345126522898268672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 415407344.

It is a congruent number.

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, 6092 + ... + 29460.

It is an arithmetic number, because the mean of its divisors is an integer number (22168782).

Almost surely, 2^415407344 is an apocalyptic number.

415407344 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 415407344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443375640).

415407344 is an abundant number, since it is smaller than the sum of its proper divisors (471343936).

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

415407344 is a wasteful number, since it uses less digits than its factorization.

415407344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23489 (or 23483 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 415407344 is about 20381.5442005752. The cubic root of 415407344 is about 746.1475604573.

It can be divided in two parts, 41540 and 7344, that added together give a palindrome (48884).

The spelling of 415407344 in words is "four hundred fifteen million, four hundred seven thousand, three hundred forty-four".