385597800 has 288 divisors, whose sum is σ = 1533086400. Its totient is φ = 87264000.

The previous prime is 385597789. The next prime is 385597801. The reversal of 385597800 is 8795583.

385597800 = 102³ + 103³ + ... + 201³.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (385597801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3817750 + ... + 3817850.

Almost surely, 2^385597800 is an apocalyptic number.

385597800 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 385597800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766543200).

385597800 is an abundant number, since it is smaller than the sum of its proper divisors (1147488600).

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

385597800 is a wasteful number, since it uses less digits than its factorization.

385597800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 385597800 is about 19636.6443161758. The cubic root of 385597800 is about 727.8549654723.

The spelling of 385597800 in words is "three hundred eighty-five million, five hundred ninety-seven thousand, eight hundred".