251843040 has 192 divisors, whose sum is σ = 892019520. Its totient is φ = 66355200.

The previous prime is 251843029. The next prime is 251843063. The reversal of 251843040 is 40348152.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 251842995 and 251843013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418740 + ... + 419340.

It is an arithmetic number, because the mean of its divisors is an integer number (4645935).

Almost surely, 2^251843040 is an apocalyptic number.

251843040 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 251843040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446009760).

251843040 is an abundant number, since it is smaller than the sum of its proper divisors (640176480).

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

251843040 is a wasteful number, since it uses less digits than its factorization.

251843040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 251843040 is about 15869.5633210243. The cubic root of 251843040 is about 631.5047928727.

It can be divided in two parts, 25184 and 3040, that added together give a square (28224 = 168²).

The spelling of 251843040 in words is "two hundred fifty-one million, eight hundred forty-three thousand, forty".