415944 has 48 divisors (see below), whose sum is σ = 1158300. Its totient is φ = 134784.

The previous prime is 415937. The next prime is 415949. The reversal of 415944 is 449514.

415944 = T₂₇ + T₂₈ + ... + T₁₃₅.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 19044 = 630^2 + 138^2 .

It is a super-2 number, since 2×415944² = 346018822272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415949) by changing a digit.

415944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3762 + ... + 3870.

2⁴¹⁵⁹⁴⁴ 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 415944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579150).

415944 is an abundant number, since it is smaller than the sum of its proper divisors (742356).

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

415944 is a wasteful number, since it uses less digits than its factorization.

415944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 415944 is about 644.9372062457. The cubic root of 415944 is about 74.6468732965.

The spelling of 415944 in words is "four hundred fifteen thousand, nine hundred forty-four".