413388288 has 120 divisors (see below), whose sum is σ = 1201059288. Its totient is φ = 136876032.

The previous prime is 413388271. The next prime is 413388289. The reversal of 413388288 is 882883314.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413388289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303906 + ... + 1304222.

Almost surely, 2^413388288 is an apocalyptic number.

413388288 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 413388288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600529644).

413388288 is an abundant number, since it is smaller than the sum of its proper divisors (787671000).

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

413388288 is a wasteful number, since it uses less digits than its factorization.

413388288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 605 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 413388288 is about 20331.9523902649. The cubic root of 413388288 is about 744.9367320114.

The spelling of 413388288 in words is "four hundred thirteen million, three hundred eighty-eight thousand, two hundred eighty-eight".