385290360 has 384 divisors, whose sum is σ = 1624896000. Its totient is φ = 76889088.

The previous prime is 385290343. The next prime is 385290383. The reversal of 385290360 is 63092583.

385290360 is a `hidden beast` number, since 3 + 8 + 5 + 290 + 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 95 ways as a sum of consecutive naturals, for example, 622131 + ... + 622749.

It is an arithmetic number, because the mean of its divisors is an integer number (4231500).

Almost surely, 2^385290360 is an apocalyptic number.

385290360 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 385290360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448000).

385290360 is an abundant number, since it is smaller than the sum of its proper divisors (1239605640).

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

385290360 is a wasteful number, since it uses less digits than its factorization.

385290360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 385290360 is about 19628.8145337410. The cubic root of 385290360 is about 727.6614726424.

The spelling of 385290360 in words is "three hundred eighty-five million, two hundred ninety thousand, three hundred sixty".