914000 has 40 divisors (see below), whose sum is σ = 2214888. Its totient is φ = 364800.

The previous prime is 913999. The next prime is 914021. The reversal of 914000 is 419.

914000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 913936 = 8^2 + 956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1772 + ... + 2228.

2⁹¹⁴⁰⁰⁰ 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 914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107444).

914000 is an abundant number, since it is smaller than the sum of its proper divisors (1300888).

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

914000 is a wasteful number, since it uses less digits than its factorization.

914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 914000 is about 956.0334722174. The cubic root of 914000 is about 97.0469889602.

Adding to 914000 its reverse (419), we get a palindrome (914419).

The spelling of 914000 in words is "nine hundred fourteen thousand".