250470080 has 112 divisors (see below), whose sum is σ = 703819776. Its totient is φ = 83082240.

The previous prime is 250470041. The next prime is 250470083. The reversal of 250470080 is 80074052.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (250470083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67637 + ... + 71243.

Almost surely, 2^250470080 is an apocalyptic number.

250470080 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 250470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351909888).

250470080 is an abundant number, since it is smaller than the sum of its proper divisors (453349696).

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

250470080 is a wasteful number, since it uses less digits than its factorization.

250470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 250470080 is about 15826.2465543792. The cubic root of 250470080 is about 630.3551201870.

The spelling of 250470080 in words is "two hundred fifty million, four hundred seventy thousand, eighty".