251826240 has 112 divisors (see below), whose sum is σ = 803282112. Its totient is φ = 66840576.

The previous prime is 251826221. The next prime is 251826251. The reversal of 251826240 is 42628152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 251826198 and 251826207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265447 + ... + 266393.

Almost surely, 2^251826240 is an apocalyptic number.

251826240 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 251826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401641056).

251826240 is an abundant number, since it is smaller than the sum of its proper divisors (551455872).

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

251826240 is a wasteful number, since it uses less digits than its factorization.

251826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 251826240 is about 15869.0339970648. The cubic root of 251826240 is about 631.4907503743.

The spelling of 251826240 in words is "two hundred fifty-one million, eight hundred twenty-six thousand, two hundred forty".