385897300 has 72 divisors (see below), whose sum is σ = 869444352. Its totient is φ = 148512000.

The previous prime is 385897279. The next prime is 385897301. The reversal of 385897300 is 3798583.

It is a happy number.

It is a super-2 number, since 2×385897300² = 297833452294580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385897301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870879 + ... + 871321.

It is an arithmetic number, because the mean of its divisors is an integer number (12075616).

Almost surely, 2^385897300 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 385897300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434722176).

385897300 is an abundant number, since it is smaller than the sum of its proper divisors (483547052).

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

385897300 is a wasteful number, since it uses less digits than its factorization.

385897300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 385897300 is about 19644.2688843337. The cubic root of 385897300 is about 728.0433622483.

The spelling of 385897300 in words is "three hundred eighty-five million, eight hundred ninety-seven thousand, three hundred".