385813260 has 192 divisors, whose sum is σ = 1400448000. Its totient is φ = 88143552.

The previous prime is 385813237. The next prime is 385813261. The reversal of 385813260 is 62318583.

385813260 is a `hidden beast` number, since 385 + 8 + 13 + 260 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (385813261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184179 + ... + 186261.

It is an arithmetic number, because the mean of its divisors is an integer number (7294000).

Almost surely, 2^385813260 is an apocalyptic number.

385813260 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 385813260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700224000).

385813260 is an abundant number, since it is smaller than the sum of its proper divisors (1014634740).

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

385813260 is a wasteful number, since it uses less digits than its factorization.

385813260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 385813260 is about 19642.1297215959. The cubic root of 385813260 is about 727.9905077658.

The spelling of 385813260 in words is "three hundred eighty-five million, eight hundred thirteen thousand, two hundred sixty".