414164268 has 144 divisors (see below), whose sum is σ = 1293364800. Its totient is φ = 111315456.

The previous prime is 414164237. The next prime is 414164269. The reversal of 414164268 is 862461414.

It is a happy number.

414164268 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 642 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (414164269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208930 + ... + 210902.

It is an arithmetic number, because the mean of its divisors is an integer number (8981700).

Almost surely, 2^414164268 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 414164268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646682400).

414164268 is an abundant number, since it is smaller than the sum of its proper divisors (879200532).

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

414164268 is a wasteful number, since it uses less digits than its factorization.

414164268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2002 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 414164268 is about 20351.0262149111. The cubic root of 414164268 is about 745.4025528914.

The spelling of 414164268 in words is "four hundred fourteen million, one hundred sixty-four thousand, two hundred sixty-eight".