385101360 has 240 divisors, whose sum is σ = 1493743680. Its totient is φ = 87091200.

The previous prime is 385101317. The next prime is 385101361. The reversal of 385101360 is 63101583.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385101361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549010 + ... + 549710.

It is an arithmetic number, because the mean of its divisors is an integer number (6223932).

Almost surely, 2^385101360 is an apocalyptic number.

385101360 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 385101360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746871840).

385101360 is an abundant number, since it is smaller than the sum of its proper divisors (1108642320).

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

385101360 is a wasteful number, since it uses less digits than its factorization.

385101360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 385101360 is about 19623.9995923359. Note that the first 3 decimals coincide. The cubic root of 385101360 is about 727.5424710388.

The spelling of 385101360 in words is "three hundred eighty-five million, one hundred one thousand, three hundred sixty".