4385920 has 128 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 1351680.

The previous prime is 4385897. The next prime is 4385923. The reversal of 4385920 is 295834.

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4385923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49236 + ... + 49324.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

Almost surely, 2^4385920 is an apocalyptic number.

4385920 is a gapful number since it is divisible by the number (40) 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 4385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

4385920 is an abundant number, since it is smaller than the sum of its proper divisors (8833280).

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

4385920 is a wasteful number, since it uses less digits than its factorization.

4385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 4385920 is about 2094.2588187710. The cubic root of 4385920 is about 163.6892788091.

The spelling of 4385920 in words is "four million, three hundred eighty-five thousand, nine hundred twenty".