250745040 has 480 divisors, whose sum is σ = 1072431360. Its totient is φ = 51093504.

The previous prime is 250745039. The next prime is 250745051. The reversal of 250745040 is 40547052.

250745040 = 46² + 47² + ... + 909².

It is a junction number, because it is equal to n+sod(n) for n = 250744995 and 250745013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2817316 + ... + 2817404.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^250745040 is an apocalyptic number.

250745040 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 250745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

250745040 is an abundant number, since it is smaller than the sum of its proper divisors (821686320).

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

250745040 is a wasteful number, since it uses less digits than its factorization.

250745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 250745040 is about 15834.9310071121. The cubic root of 250745040 is about 630.5856987048.

The spelling of 250745040 in words is "two hundred fifty million, seven hundred forty-five thousand, forty".