251040 has 48 divisors (see below), whose sum is σ = 792288. Its totient is φ = 66816.

The previous prime is 251033. The next prime is 251051. The reversal of 251040 is 40152.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 251040.

It is an unprimeable number.

251040 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 7 ways as a sum of consecutive naturals, for example, 219 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (16506).

2²⁵¹⁰⁴⁰ is an apocalyptic number.

251040 is a gapful number since it is divisible by the number (20) 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 251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396144).

251040 is an abundant number, since it is smaller than the sum of its proper divisors (541248).

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

251040 is a wasteful number, since it uses less digits than its factorization.

251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 251040 is about 501.0389206439. The cubic root of 251040 is about 63.0832861684.

Adding to 251040 its reverse (40152), we get a palindrome (291192).

The spelling of 251040 in words is "two hundred fifty-one thousand, forty".