464256 has 96 divisors (see below), whose sum is σ = 1485120. Its totient is φ = 138240.

The previous prime is 464251. The next prime is 464257. The reversal of 464256 is 652464.

It is a happy number.

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

Its product of digits (5760) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464251) by changing a digit.

464256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14961 + ... + 14991.

It is an arithmetic number, because the mean of its divisors is an integer number (15470).

2⁴⁶⁴²⁵⁶ 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 464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742560).

464256 is an abundant number, since it is smaller than the sum of its proper divisors (1020864).

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

464256 is a wasteful number, since it uses less digits than its factorization.

464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 464256 is about 681.3633391958. The cubic root of 464256 is about 77.4317679021.

It can be divided in two parts, 4642 and 56, that multiplied together give a palindrome (259952).

The spelling of 464256 in words is "four hundred sixty-four thousand, two hundred fifty-six".