251264 has 32 divisors (see below), whose sum is σ = 542640. Its totient is φ = 115200.
The previous prime is 251263. The next prime is 251287. The reversal of 251264 is 462152.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 251264.
It is not an unprimeable number, because it can be changed into a prime (251261) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1589 + ... + 1739.
2251264 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 251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271320).
251264 is an abundant number, since it is smaller than the sum of its proper divisors (291376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
251264 is a wasteful number, since it uses less digits than its factorization.
251264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 178 (or 166 counting only the distinct ones).
The product of its digits is 480, while the sum is 20.
The square root of 251264 is about 501.2624063303. The cubic root of 251264 is about 63.1020434121.
It can be divided in two parts, 251 and 264, that added together give a palindrome (515).
The spelling of 251264 in words is "two hundred fifty-one thousand, two hundred sixty-four".
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