385952700 has 288 divisors, whose sum is σ = 1424908800. Its totient is φ = 78520320.

The previous prime is 385952653. The next prime is 385952737. The reversal of 385952700 is 7259583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678016 + ... + 678584.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^385952700 is an apocalyptic number.

385952700 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 385952700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

385952700 is an abundant number, since it is smaller than the sum of its proper divisors (1038956100).

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

385952700 is a wasteful number, since it uses less digits than its factorization.

385952700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 385952700 is about 19645.6789142040. The cubic root of 385952700 is about 728.0782002499.

The spelling of 385952700 in words is "three hundred eighty-five million, nine hundred fifty-two thousand, seven hundred".