385407100 has 72 divisors (see below), whose sum is σ = 931815360. Its totient is φ = 137383680.

The previous prime is 385407083. The next prime is 385407103. The reversal of 385407100 is 1704583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385407103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32589 + ... + 42811.

It is an arithmetic number, because the mean of its divisors is an integer number (12941880).

Almost surely, 2^385407100 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 385407100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465907680).

385407100 is an abundant number, since it is smaller than the sum of its proper divisors (546408260).

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

385407100 is a wasteful number, since it uses less digits than its factorization.

385407100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 385407100 is about 19631.7879980403. The cubic root of 385407100 is about 727.7349571544.

The spelling of 385407100 in words is "three hundred eighty-five million, four hundred seven thousand, one hundred".