414250272 has 72 divisors (see below), whose sum is σ = 1216051200. Its totient is φ = 133626240.

The previous prime is 414250259. The next prime is 414250273. The reversal of 414250272 is 272052414.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (414250273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14272 + ... + 32127.

It is an arithmetic number, because the mean of its divisors is an integer number (16889600).

Almost surely, 2^414250272 is an apocalyptic number.

It is an amenable number.

414250272 is an abundant number, since it is smaller than the sum of its proper divisors (801800928).

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

414250272 is a wasteful number, since it uses less digits than its factorization.

414250272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46446 (or 46435 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 414250272 is about 20353.1391190647. The cubic root of 414250272 is about 745.4541452741.

The spelling of 414250272 in words is "four hundred fourteen million, two hundred fifty thousand, two hundred seventy-two".