415044288 has 84 divisors (see below), whose sum is σ = 1230721440. Its totient is φ = 133572096.

The previous prime is 415044251. The next prime is 415044349. The reversal of 415044288 is 882440514.

It is a super-3 number, since 3×415044288³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4281 + ... + 29127.

Almost surely, 2^415044288 is an apocalyptic number.

415044288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615360720).

415044288 is an abundant number, since it is smaller than the sum of its proper divisors (815677152).

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

415044288 is a wasteful number, since it uses less digits than its factorization.

415044288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24894 (or 24881 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 415044288 is about 20372.6357646722. The cubic root of 415044288 is about 745.9301254432.

The spelling of 415044288 in words is "four hundred fifteen million, forty-four thousand, two hundred eighty-eight".