385873920 has 288 divisors, whose sum is σ = 1379851200. Its totient is φ = 99680256.

The previous prime is 385873903. The next prime is 385873927. The reversal of 385873920 is 29378583.

385873920 is a `hidden beast` number, since 38 + 587 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385873927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884441 + ... + 4884519.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^385873920 is an apocalyptic number.

385873920 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 385873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689925600).

385873920 is an abundant number, since it is smaller than the sum of its proper divisors (993977280).

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

385873920 is a wasteful number, since it uses less digits than its factorization.

385873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 385873920 is about 19643.6737908162. The cubic root of 385873920 is about 728.0286588565.

The spelling of 385873920 in words is "three hundred eighty-five million, eight hundred seventy-three thousand, nine hundred twenty".