250457040 has 120 divisors (see below), whose sum is σ = 849240288. Its totient is φ = 66144000.

The previous prime is 250457027. The next prime is 250457057. The reversal of 250457040 is 40754052.

250457040 is a `hidden beast` number, since 2 + 50 + 4 + 570 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 250456995 and 250457013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75415 + ... + 78665.

Almost surely, 2^250457040 is an apocalyptic number.

250457040 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 250457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424620144).

250457040 is an abundant number, since it is smaller than the sum of its proper divisors (598783248).

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

250457040 is a wasteful number, since it uses less digits than its factorization.

250457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3368 counting only the distinct ones).

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

The square root of 250457040 is about 15825.8345751496. The cubic root of 250457040 is about 630.3441807920.

The spelling of 250457040 in words is "two hundred fifty million, four hundred fifty-seven thousand, forty".