385263360 has 216 divisors, whose sum is σ = 1360273824. Its totient is φ = 100638720.

The previous prime is 385263337. The next prime is 385263391. The reversal of 385263360 is 63362583.

It is a happy number.

385263360 is a `hidden beast` number, since 38 + 5 + 263 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610245 + ... + 610875.

It is an arithmetic number, because the mean of its divisors is an integer number (6297564).

Almost surely, 2^385263360 is an apocalyptic number.

385263360 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 385263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680136912).

385263360 is an abundant number, since it is smaller than the sum of its proper divisors (975010464).

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

385263360 is a wasteful number, since it uses less digits than its factorization.

385263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 385263360 is about 19628.1267572838. The cubic root of 385263360 is about 727.6444747963.

The spelling of 385263360 in words is "three hundred eighty-five million, two hundred sixty-three thousand, three hundred sixty".