385320600 has 288 divisors, whose sum is σ = 1509412320. Its totient is φ = 86261760.

The previous prime is 385320581. The next prime is 385320619. The reversal of 385320600 is 6023583.

385320600 is a `hidden beast` number, since 3 + 8 + 53 + 2 + 0 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (385320581) and next prime (385320619).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 667512 + ... + 668088.

It is an arithmetic number, because the mean of its divisors is an integer number (5241015).

Almost surely, 2^385320600 is an apocalyptic number.

385320600 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 385320600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754706160).

385320600 is an abundant number, since it is smaller than the sum of its proper divisors (1124091720).

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

385320600 is a wasteful number, since it uses less digits than its factorization.

385320600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 385320600 is about 19629.5848147637. The cubic root of 385320600 is about 727.6805092873.

The spelling of 385320600 in words is "three hundred eighty-five million, three hundred twenty thousand, six hundred".