385264000 has 192 divisors, whose sum is σ = 1058148000. Its totient is φ = 139392000.

The previous prime is 385263947. The next prime is 385264021. The reversal of 385264000 is 462583.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 385264000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1935901 + ... + 1936099.

Almost surely, 2^385264000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529074000).

385264000 is an abundant number, since it is smaller than the sum of its proper divisors (672884000).

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

385264000 is a wasteful number, since it uses less digits than its factorization.

385264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 385264000 is about 19628.1430604120. The cubic root of 385264000 is about 727.6448777174.

The spelling of 385264000 in words is "three hundred eighty-five million, two hundred sixty-four thousand".