250741920 has 288 divisors, whose sum is σ = 936339264. Its totient is φ = 55910400.

The previous prime is 250741913. The next prime is 250741957. The reversal of 250741920 is 29147052.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892180 + ... + 892460.

It is an arithmetic number, because the mean of its divisors is an integer number (3251178).

Almost surely, 2^250741920 is an apocalyptic number.

250741920 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 250741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468169632).

250741920 is an abundant number, since it is smaller than the sum of its proper divisors (685597344).

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

250741920 is a wasteful number, since it uses less digits than its factorization.

250741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 250741920 is about 15834.8324904307. The cubic root of 250741920 is about 630.5830832519.

Adding to 250741920 its reverse (29147052), we get a palindrome (279888972).

The spelling of 250741920 in words is "two hundred fifty million, seven hundred forty-one thousand, nine hundred twenty".