414578268 has 72 divisors (see below), whose sum is σ = 1131097968. Its totient is φ = 127277568.

The previous prime is 414578251. The next prime is 414578273. The reversal of 414578268 is 862875414.

414578268 is a `hidden beast` number, since 4 + 14 + 578 + 2 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 318996 + ... + 320292.

It is an arithmetic number, because the mean of its divisors is an integer number (15709694).

Almost surely, 2^414578268 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 414578268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565548984).

414578268 is an abundant number, since it is smaller than the sum of its proper divisors (716519700).

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

414578268 is a wasteful number, since it uses less digits than its factorization.

414578268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1998 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 414578268 is about 20361.1951515622. The cubic root of 414578268 is about 745.6508391496.

The spelling of 414578268 in words is "four hundred fourteen million, five hundred seventy-eight thousand, two hundred sixty-eight".