415372288 has 88 divisors (see below), whose sum is σ = 891378432. Its totient is φ = 192774144.

The previous prime is 415372273. The next prime is 415372291. The reversal of 415372288 is 882273514.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 415372288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1862545 + ... + 1862767.

Almost surely, 2^415372288 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 415372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445689216).

415372288 is an abundant number, since it is smaller than the sum of its proper divisors (476006144).

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

415372288 is a wasteful number, since it uses less digits than its factorization.

415372288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 415372288 is about 20380.6841887116. The cubic root of 415372288 is about 746.1265708712.

The spelling of 415372288 in words is "four hundred fifteen million, three hundred seventy-two thousand, two hundred eighty-eight".