385439100 has 72 divisors (see below), whose sum is σ = 1141176960. Its totient is φ = 100390080.

The previous prime is 385439099. The next prime is 385439107. The reversal of 385439100 is 1934583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385439107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2040 + ... + 27839.

It is an arithmetic number, because the mean of its divisors is an integer number (15849680).

Almost surely, 2^385439100 is an apocalyptic number.

385439100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385439100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570588480).

385439100 is an abundant number, since it is smaller than the sum of its proper divisors (755737860).

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

385439100 is a wasteful number, since it uses less digits than its factorization.

385439100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29939 (or 29932 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 385439100 is about 19632.6029858498. The cubic root of 385439100 is about 727.7550976536.

The spelling of 385439100 in words is "three hundred eighty-five million, four hundred thirty-nine thousand, one hundred".