414270564 has 24 divisors (see below), whose sum is σ = 968825760. Its totient is φ = 137776704.

The previous prime is 414270559. The next prime is 414270583. The reversal of 414270564 is 465072414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33649 + ... + 44280.

It is an arithmetic number, because the mean of its divisors is an integer number (40367740).

Almost surely, 2^414270564 is an apocalyptic number.

It is an amenable number.

414270564 is an abundant number, since it is smaller than the sum of its proper divisors (554555196).

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

414270564 is a wasteful number, since it uses less digits than its factorization.

414270564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78379 (or 78377 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 414270564 is about 20353.6376110021. The cubic root of 414270564 is about 745.4663170694.

The spelling of 414270564 in words is "four hundred fourteen million, two hundred seventy thousand, five hundred sixty-four".