385925400 has 288 divisors, whose sum is σ = 1500127200. Its totient is φ = 87091200.

The previous prime is 385925389. The next prime is 385925401. The reversal of 385925400 is 4529583.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385925401) 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, 1373260 + ... + 1373540.

It is an arithmetic number, because the mean of its divisors is an integer number (5208775).

Almost surely, 2^385925400 is an apocalyptic number.

385925400 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 385925400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750063600).

385925400 is an abundant number, since it is smaller than the sum of its proper divisors (1114201800).

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

385925400 is a wasteful number, since it uses less digits than its factorization.

385925400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 385925400 is about 19644.9840926380. The cubic root of 385925400 is about 728.0610332037.

The spelling of 385925400 in words is "three hundred eighty-five million, nine hundred twenty-five thousand, four hundred".