385912800 has 864 divisors, whose sum is σ = 1819883520. Its totient is φ = 74649600.

The previous prime is 385912783. The next prime is 385912829. The reversal of 385912800 is 8219583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12448785 + ... + 12448815.

Almost surely, 2^385912800 is an apocalyptic number.

385912800 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 385912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909941760).

385912800 is an abundant number, since it is smaller than the sum of its proper divisors (1433970720).

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

385912800 is a wasteful number, since it uses less digits than its factorization.

385912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 385912800 is about 19644.6633974726. The cubic root of 385912800 is about 728.0531096785.

The spelling of 385912800 in words is "three hundred eighty-five million, nine hundred twelve thousand, eight hundred".