414249268 has 24 divisors (see below), whose sum is σ = 774635400. Its totient is φ = 193148928.

The previous prime is 414249239. The next prime is 414249271. The reversal of 414249268 is 862942414.

It can be written as a sum of positive squares in 4 ways, for example, as 239692324 + 174556944 = 15482^2 + 13212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414249268.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20533 + ... + 35356.

It is an arithmetic number, because the mean of its divisors is an integer number (32276475).

Almost surely, 2^414249268 is an apocalyptic number.

It is an amenable number.

414249268 is a deficient number, since it is larger than the sum of its proper divisors (360386132).

414249268 is a wasteful number, since it uses less digits than its factorization.

414249268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56019 (or 56017 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 414249268 is about 20353.1144545497. The cubic root of 414249268 is about 745.4535430322.

The spelling of 414249268 in words is "four hundred fourteen million, two hundred forty-nine thousand, two hundred sixty-eight".