250897680 has 240 divisors, whose sum is σ = 933154560. Its totient is φ = 59904000.

The previous prime is 250897657. The next prime is 250897681. The reversal of 250897680 is 86798052.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250897681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625480 + ... + 625880.

It is an arithmetic number, because the mean of its divisors is an integer number (3888144).

Almost surely, 2^250897680 is an apocalyptic number.

250897680 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 250897680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466577280).

250897680 is an abundant number, since it is smaller than the sum of its proper divisors (682256880).

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

250897680 is a wasteful number, since it uses less digits than its factorization.

250897680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 250897680 is about 15839.7499980271. The cubic root of 250897680 is about 630.7136282231.

It can be divided in two parts, 2508976 and 80, that added together give a square (2509056 = 1584²).

The spelling of 250897680 in words is "two hundred fifty million, eight hundred ninety-seven thousand, six hundred eighty".