300250080 has 288 divisors, whose sum is σ = 1132106976. Its totient is φ = 71995392.

The previous prime is 300250033. The next prime is 300250109. The reversal of 300250080 is 80052003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×300250080² = 180300221080012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804774 + ... + 805146.

It is an arithmetic number, because the mean of its divisors is an integer number (3930927).

Almost surely, 2^300250080 is an apocalyptic number.

300250080 is a gapful number since it is divisible by the number (30) 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 300250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566053488).

300250080 is an abundant number, since it is smaller than the sum of its proper divisors (831856896).

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

300250080 is a wasteful number, since it uses less digits than its factorization.

300250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 300250080 is about 17327.7257596027. The cubic root of 300250080 is about 669.6189115216.

The spelling of 300250080 in words is "three hundred million, two hundred fifty thousand, eighty".