385369600 has 480 divisors, whose sum is σ = 1315201536. Its totient is φ = 108134400.

The previous prime is 385369573. The next prime is 385369601. The reversal of 385369600 is 6963583.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385369601) 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 47 ways as a sum of consecutive naturals, for example, 16755189 + ... + 16755211.

Almost surely, 2^385369600 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 385369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657600768).

385369600 is an abundant number, since it is smaller than the sum of its proper divisors (929831936).

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

385369600 is a wasteful number, since it uses less digits than its factorization.

385369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 385369600 is about 19630.8328911435. The cubic root of 385369600 is about 727.7113535882.

The spelling of 385369600 in words is "three hundred eighty-five million, three hundred sixty-nine thousand, six hundred".