385857600 has 84 divisors (see below), whose sum is σ = 1265950224. Its totient is φ = 102894080.

The previous prime is 385857547. The next prime is 385857607. The reversal of 385857600 is 6758583.

It is not an unprimeable number, because it can be changed into a prime (385857607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35394 + ... + 44993.

It is an arithmetic number, because the mean of its divisors is an integer number (15070836).

Almost surely, 2^385857600 is an apocalyptic number.

385857600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385857600 is an abundant number, since it is smaller than the sum of its proper divisors (880092624).

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

385857600 is a wasteful number, since it uses less digits than its factorization.

385857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80412 (or 80397 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 385857600 is about 19643.2583855123. The cubic root of 385857600 is about 728.0183950591.

The spelling of 385857600 in words is "three hundred eighty-five million, eight hundred fifty-seven thousand, six hundred".