415344 has 40 divisors (see below), whose sum is σ = 1138320. Its totient is φ = 130048.

The previous prime is 415343. The next prime is 415379. The reversal of 415344 is 443514.

415344 = T₁₃₉ + T₁₄₀ + ... + T₁₇₂.

It is a self number, because there is not a number n which added to its sum of digits gives 415344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (28458).

2⁴¹⁵³⁴⁴ 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 415344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569160).

415344 is an abundant number, since it is smaller than the sum of its proper divisors (722976).

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

415344 is a wasteful number, since it uses less digits than its factorization.

415344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 415344 is about 644.4718768108. The cubic root of 415344 is about 74.6109632727.

Adding to 415344 its reverse (443514), we get a palindrome (858858).

The spelling of 415344 in words is "four hundred fifteen thousand, three hundred forty-four".