415044 has 72 divisors (see below), whose sum is σ = 1263808. Its totient is φ = 116640.

The previous prime is 415039. The next prime is 415061. The reversal of 415044 is 440514.

It is a super-3 number, since 3×415044³ = 214488333331215552, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6774 + ... + 6834.

2⁴¹⁵⁰⁴⁴ 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 415044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631904).

415044 is an abundant number, since it is smaller than the sum of its proper divisors (848764).

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

415044 is a wasteful number, since it uses less digits than its factorization.

415044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 415044 is about 644.2390860542. The cubic root of 415044 is about 74.5929952909.

Adding to 415044 its reverse (440514), we get a palindrome (855558).

The spelling of 415044 in words is "four hundred fifteen thousand, forty-four".