251250048 has 144 divisors (see below), whose sum is σ = 841227660. Its totient is φ = 71769600.

The previous prime is 251250031. The next prime is 251250049. The reversal of 251250048 is 840052152.

It is a happy number.

251250048 is digitally balanced in base 2, because in such base 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 (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251250049) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54223 + ... + 58673.

Almost surely, 2^251250048 is an apocalyptic number.

251250048 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 251250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420613830).

251250048 is an abundant number, since it is smaller than the sum of its proper divisors (589977612).

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

251250048 is a wasteful number, since it uses less digits than its factorization.

251250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 251250048 is about 15850.8689982600. The cubic root of 251250048 is about 631.0087542936.

The spelling of 251250048 in words is "two hundred fifty-one million, two hundred fifty thousand, forty-eight".