414589272 has 64 divisors (see below), whose sum is σ = 1098163200. Its totient is φ = 130066560.

The previous prime is 414589247. The next prime is 414589309. The reversal of 414589272 is 272985414.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68697 + ... + 74487.

It is an arithmetic number, because the mean of its divisors is an integer number (17158800).

Almost surely, 2^414589272 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 414589272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549081600).

414589272 is an abundant number, since it is smaller than the sum of its proper divisors (683573928).

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

414589272 is a wasteful number, since it uses less digits than its factorization.

414589272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5972 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 414589272 is about 20361.4653696634. The cubic root of 414589272 is about 745.6574362708.

The spelling of 414589272 in words is "four hundred fourteen million, five hundred eighty-nine thousand, two hundred seventy-two".