385328400 has 120 divisors (see below), whose sum is σ = 1246286304. Its totient is φ = 101760000.

The previous prime is 385328371. The next prime is 385328441. The reversal of 385328400 is 4823583.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126900 + ... + 129900.

Almost surely, 2^385328400 is an apocalyptic number.

385328400 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 385328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623143152).

385328400 is an abundant number, since it is smaller than the sum of its proper divisors (860957904).

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

385328400 is a wasteful number, since it uses less digits than its factorization.

385328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 385328400 is about 19629.7834934571. The cubic root of 385328400 is about 727.6854193714.

The spelling of 385328400 in words is "three hundred eighty-five million, three hundred twenty-eight thousand, four hundred".