415288944 has 120 divisors (see below), whose sum is σ = 1377550720. Its totient is φ = 118646208.

The previous prime is 415288933. The next prime is 415288949. The reversal of 415288944 is 449882514.

415288944 is a `hidden beast` number, since 4 + 1 + 528 + 89 + 44 = 666.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 415288944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415288949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19587 + ... + 34845.

Almost surely, 2^415288944 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 415288944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688775360).

415288944 is an abundant number, since it is smaller than the sum of its proper divisors (962261776).

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

415288944 is a wasteful number, since it uses less digits than its factorization.

415288944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15289 (or 15271 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 415288944 is about 20378.6394050241. The cubic root of 415288944 is about 746.0766643702.

It can be divided in two parts, 4152 and 88944, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 415288944 in words is "four hundred fifteen million, two hundred eighty-eight thousand, nine hundred forty-four".