301868480 has 56 divisors (see below), whose sum is σ = 727984320. Its totient is φ = 119208960.

The previous prime is 301868467. The next prime is 301868503. The reversal of 301868480 is 84868103.

It is a super-2 number, since 2×301868480² = 182249158435020800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19310 + ... + 31250.

It is an arithmetic number, because the mean of its divisors is an integer number (12999720).

Almost surely, 2^301868480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363992160).

301868480 is an abundant number, since it is smaller than the sum of its proper divisors (426115840).

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

301868480 is a wasteful number, since it uses less digits than its factorization.

301868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12037 (or 12027 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 301868480 is about 17374.3627221260. The cubic root of 301868480 is about 670.8198769810.

The spelling of 301868480 in words is "three hundred one million, eight hundred sixty-eight thousand, four hundred eighty".