415338 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 100800.

The previous prime is 415319. The next prime is 415343. The reversal of 415338 is 833514.

415338 = 32² + 33² + ... + 108².

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13383 + ... + 13413.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2⁴¹⁵³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

415338 is an abundant number, since it is smaller than the sum of its proper divisors (690582).

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

415338 is a wasteful number, since it uses less digits than its factorization.

415338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its digits is 1440, while the sum is 24.

The square root of 415338 is about 644.4672218197. The cubic root of 415338 is about 74.6106039978.

The spelling of 415338 in words is "four hundred fifteen thousand, three hundred thirty-eight".