291456 has 96 divisors (see below), whose sum is σ = 954720. Its totient is φ = 84480.

The previous prime is 291443. The next prime is 291457. The reversal of 291456 is 654192.

291456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (2160) is a multiple of the sum of its prime factors (54).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 291456.

It is not an unprimeable number, because it can be changed into a prime (291457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12661 + ... + 12683.

It is an arithmetic number, because the mean of its divisors is an integer number (9945).

2²⁹¹⁴⁵⁶ 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 291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477360).

291456 is an abundant number, since it is smaller than the sum of its proper divisors (663264).

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

291456 is a wasteful number, since it uses less digits than its factorization.

291456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 39 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 291456 is about 539.8666502017. The cubic root of 291456 is about 66.3016495293.

It can be divided in two parts, 291 and 456, that added together give a palindrome (747).

The spelling of 291456 in words is "two hundred ninety-one thousand, four hundred fifty-six".