414007272 has 144 divisors (see below), whose sum is σ = 1312459200. Its totient is φ = 117552960.

The previous prime is 414007267. The next prime is 414007301. The reversal of 414007272 is 272700414.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 842947 + ... + 843437.

It is an arithmetic number, because the mean of its divisors is an integer number (9114300).

Almost surely, 2^414007272 is an apocalyptic number.

414007272 is a gapful number since it is divisible by the number (42) 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 414007272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656229600).

414007272 is an abundant number, since it is smaller than the sum of its proper divisors (898451928).

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

414007272 is a wasteful number, since it uses less digits than its factorization.

414007272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 414007272 is about 20347.1686482419. The cubic root of 414007272 is about 745.3083551554.

Adding to 414007272 its reverse (272700414), we get a palindrome (686707686).

The spelling of 414007272 in words is "four hundred fourteen million, seven thousand, two hundred seventy-two".