414642272 has 96 divisors (see below), whose sum is σ = 924908544. Its totient is φ = 181350400.

The previous prime is 414642271. The next prime is 414642281. The reversal of 414642272 is 272246414.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414642271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1174448 + ... + 1174800.

It is an arithmetic number, because the mean of its divisors is an integer number (9634464).

Almost surely, 2^414642272 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 414642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462454272).

414642272 is an abundant number, since it is smaller than the sum of its proper divisors (510266272).

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

414642272 is a wasteful number, since it uses less digits than its factorization.

414642272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 414642272 is about 20362.7668061096. The cubic root of 414642272 is about 745.6892092108.

Adding to 414642272 its reverse (272246414), we get a palindrome (686888686).

The spelling of 414642272 in words is "four hundred fourteen million, six hundred forty-two thousand, two hundred seventy-two".