300377664 has 168 divisors, whose sum is σ = 894234432. Its totient is φ = 96353280.

The previous prime is 300377663. The next prime is 300377681. The reversal of 300377664 is 466773003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (300377663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2916237 + ... + 2916339.

It is an arithmetic number, because the mean of its divisors is an integer number (5322824).

Almost surely, 2^300377664 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 300377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447117216).

300377664 is an abundant number, since it is smaller than the sum of its proper divisors (593856768).

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

300377664 is a wasteful number, since it uses less digits than its factorization.

300377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 300377664 is about 17331.4068673031. The cubic root of 300377664 is about 669.7137442038.

The spelling of 300377664 in words is "three hundred million, three hundred seventy-seven thousand, six hundred sixty-four".