385320 has 96 divisors (see below), whose sum is σ = 1317600. Its totient is φ = 89856.

The previous prime is 385291. The next prime is 385321. The reversal of 385320 is 23583.

385320 = T₁₅₉ + T₁₆₀ + ... + T₁₈₄.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385320.

It is not an unprimeable number, because it can be changed into a prime (385321) 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, 20271 + ... + 20289.

It is an arithmetic number, because the mean of its divisors is an integer number (13725).

2³⁸⁵³²⁰ is an apocalyptic number.

385320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

385320 is the 507-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658800).

385320 is an abundant number, since it is smaller than the sum of its proper divisors (932280).

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

385320 is a wasteful number, since it uses less digits than its factorization.

385320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 385320 is about 620.7414920883. The cubic root of 385320 is about 72.7680131586.

The spelling of 385320 in words is "three hundred eighty-five thousand, three hundred twenty".