251328 has 112 divisors (see below), whose sum is σ = 877824. Its totient is φ = 61440.

The previous prime is 251323. The next prime is 251347. The reversal of 251328 is 823152.

251328 is digitally balanced in base 2 and base 3, because in such bases 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (480) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251323) by changing a digit.

251328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14776 + ... + 14792.

2²⁵¹³²⁸ is an apocalyptic number.

251328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438912).

251328 is an abundant number, since it is smaller than the sum of its proper divisors (626496).

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

251328 is a wasteful number, since it uses less digits than its factorization.

251328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 251328 is about 501.3262410846. The cubic root of 251328 is about 63.1074005768.

It can be divided in two parts, 251 and 328, that multiplied together give a palindrome (82328).

The spelling of 251328 in words is "two hundred fifty-one thousand, three hundred twenty-eight".