385392000 has 512 divisors, whose sum is σ = 1547919360. Its totient is φ = 82944000.

The previous prime is 385391999. The next prime is 385392001. The reversal of 385392000 is 293583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (385391999) and next prime (385392001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385392001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10415982 + ... + 10416018.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^385392000 is an apocalyptic number.

385392000 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 385392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773959680).

385392000 is an abundant number, since it is smaller than the sum of its proper divisors (1162527360).

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

385392000 is a wasteful number, since it uses less digits than its factorization.

385392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 385392000 is about 19631.4034139182. The cubic root of 385392000 is about 727.7254529692.

The spelling of 385392000 in words is "three hundred eighty-five million, three hundred ninety-two thousand".