250457480640 has 336 divisors, whose sum is σ = 920859541056. Its totient is φ = 62325964800.

The previous prime is 250457480629. The next prime is 250457480657. The reversal of 250457480640 is 46084754052.

250457480640 is a `hidden beast` number, since 2 + 504 + 5 + 7 + 4 + 80 + 64 + 0 = 666.

250457480640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669730 + ... + 2761950.

It is an arithmetic number, because the mean of its divisors is an integer number (2740653396).

Almost surely, 2^250457480640 is an apocalyptic number.

250457480640 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 250457480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460429770528).

250457480640 is an abundant number, since it is smaller than the sum of its proper divisors (670402060416).

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

250457480640 is a wasteful number, since it uses less digits than its factorization.

250457480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92308 (or 92295 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 250457480640 in words is "two hundred fifty billion, four hundred fifty-seven million, four hundred eighty thousand, six hundred forty".