385560000 has 700 divisors, whose sum is σ = 1728234288. Its totient is φ = 82944000.

The previous prime is 385559981. The next prime is 385560011. The reversal of 385560000 is 65583.

385560000 is a `hidden beast` number, since 3 + 8 + 55 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (700).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 22679992 + ... + 22680008.

Almost surely, 2^385560000 is an apocalyptic number.

385560000 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 385560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864117144).

385560000 is an abundant number, since it is smaller than the sum of its proper divisors (1342674288).

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

385560000 is an equidigital number, since it uses as much as digits as its factorization.

385560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 385560000 is about 19635.6818063443. The cubic root of 385560000 is about 727.8311809168.

The spelling of 385560000 in words is "three hundred eighty-five million, five hundred sixty thousand".