385551360 has 176 divisors, whose sum is σ = 1370671200. Its totient is φ = 102776832.

The previous prime is 385551349. The next prime is 385551407. The reversal of 385551360 is 63155583.

385551360 is a `hidden beast` number, since 3 + 85 + 5 + 513 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136846 + ... + 139634.

Almost surely, 2^385551360 is an apocalyptic number.

385551360 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 385551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685335600).

385551360 is an abundant number, since it is smaller than the sum of its proper divisors (985119840).

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

385551360 is a wasteful number, since it uses less digits than its factorization.

385551360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 385551360 is about 19635.4617974724. The cubic root of 385551360 is about 727.8257442287.

The spelling of 385551360 in words is "three hundred eighty-five million, five hundred fifty-one thousand, three hundred sixty".