414261288 has 144 divisors (see below), whose sum is σ = 1350472500. Its totient is φ = 114250752.

The previous prime is 414261191. The next prime is 414261293. The reversal of 414261288 is 882162414.

It can be written as a sum of positive squares in 2 ways, for example, as 408120804 + 6140484 = 20202^2 + 2478^2 .

It is a super-2 number, since 2×414261288² = 343224829470837888, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100288 + ... + 104336.

Almost surely, 2^414261288 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 414261288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675236250).

414261288 is an abundant number, since it is smaller than the sum of its proper divisors (936211212).

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

414261288 is a wasteful number, since it uses less digits than its factorization.

414261288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4090 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 414261288 is about 20353.4097389111. The cubic root of 414261288 is about 745.4607530751.

The spelling of 414261288 in words is "four hundred fourteen million, two hundred sixty-one thousand, two hundred eighty-eight".