251982720 has 384 divisors, whose sum is σ = 982406880. Its totient is φ = 58982400.

The previous prime is 251982713. The next prime is 251982727. The reversal of 251982720 is 27289152.

It is an interprime number because it is at equal distance from previous prime (251982713) and next prime (251982727).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251982727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2597712 + ... + 2597808.

Almost surely, 2^251982720 is an apocalyptic number.

251982720 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 251982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491203440).

251982720 is an abundant number, since it is smaller than the sum of its proper divisors (730424160).

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

251982720 is a wasteful number, since it uses less digits than its factorization.

251982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 251982720 is about 15873.9635882158. The cubic root of 251982720 is about 631.6215220423.

The spelling of 251982720 in words is "two hundred fifty-one million, nine hundred eighty-two thousand, seven hundred twenty".