385623000 has 192 divisors, whose sum is σ = 1489849920. Its totient is φ = 88128000.

The previous prime is 385622987. The next prime is 385623023. The reversal of 385623000 is 326583.

385623000 is a `hidden beast` number, since 38 + 5 + 623 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59940 + ... + 66060.

It is an arithmetic number, because the mean of its divisors is an integer number (7759635).

Almost surely, 2^385623000 is an apocalyptic number.

385623000 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 385623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744924960).

385623000 is an abundant number, since it is smaller than the sum of its proper divisors (1104226920).

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

385623000 is a wasteful number, since it uses less digits than its factorization.

385623000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6138 counting only the distinct ones).

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

The square root of 385623000 is about 19637.2859631875. The cubic root of 385623000 is about 727.8708209790.

Adding to 385623000 its reverse (326583), we get a palindrome (385949583).

The spelling of 385623000 in words is "three hundred eighty-five million, six hundred twenty-three thousand".