414248288 has 48 divisors (see below), whose sum is σ = 844744320. Its totient is φ = 199756800.

The previous prime is 414248273. The next prime is 414248321. The reversal of 414248288 is 882842414.

It is a super-2 number, since 2×414248288² = 343203288221861888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405218 + ... + 406238.

It is an arithmetic number, because the mean of its divisors is an integer number (17598840).

Almost surely, 2^414248288 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 414248288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422372160).

414248288 is an abundant number, since it is smaller than the sum of its proper divisors (430496032).

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

414248288 is a wasteful number, since it uses less digits than its factorization.

414248288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its digits is 131072, while the sum is 41.

The square root of 414248288 is about 20353.0903795959. The cubic root of 414248288 is about 745.4529551856.

The spelling of 414248288 in words is "four hundred fourteen million, two hundred forty-eight thousand, two hundred eighty-eight".