414500256 has 144 divisors (see below), whose sum is σ = 1288804608. Its totient is φ = 125798400.

The previous prime is 414500237. The next prime is 414500267. The reversal of 414500256 is 652005414.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150411 + ... + 153141.

It is an arithmetic number, because the mean of its divisors is an integer number (8950032).

Almost surely, 2^414500256 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 414500256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644402304).

414500256 is an abundant number, since it is smaller than the sum of its proper divisors (874304352).

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

414500256 is a wasteful number, since it uses less digits than its factorization.

414500256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 414500256 is about 20359.2793585628. The cubic root of 414500256 is about 745.6040660256.

The spelling of 414500256 in words is "four hundred fourteen million, five hundred thousand, two hundred fifty-six".