385116800 has 48 divisors (see below), whose sum is σ = 951366750. Its totient is φ = 154045440.

The previous prime is 385116799. The next prime is 385116811. The reversal of 385116800 is 8611583.

It can be written as a sum of positive squares in 3 ways, for example, as 310605376 + 74511424 = 17624^2 + 8632^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 56975 + ... + 63374.

Almost surely, 2^385116800 is an apocalyptic number.

It is an amenable number.

385116800 is an abundant number, since it is smaller than the sum of its proper divisors (566249950).

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

385116800 is a wasteful number, since it uses less digits than its factorization.

385116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120373 (or 120356 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 385116800 is about 19624.3929842429. The cubic root of 385116800 is about 727.5521941115.

The spelling of 385116800 in words is "three hundred eighty-five million, one hundred sixteen thousand, eight hundred".