415038 has 32 divisors (see below), whose sum is σ = 949536. Its totient is φ = 119808.

The previous prime is 415031. The next prime is 415039. The reversal of 415038 is 830514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415031) by changing a digit.

415038 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 1170 + ... + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (29673).

2⁴¹⁵⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474768).

415038 is an abundant number, since it is smaller than the sum of its proper divisors (534498).

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

415038 is a wasteful number, since it uses less digits than its factorization.

415038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 415038 is about 644.2344293811. The cubic root of 415038 is about 74.5926358430.

The spelling of 415038 in words is "four hundred fifteen thousand, thirty-eight".