385540000 has 120 divisors (see below), whose sum is σ = 975990708. Its totient is φ = 149760000.

The previous prime is 385539989. The next prime is 385540003. The reversal of 385540000 is 45583.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 10575504 + 374964496 = 3252^2 + 19364^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (385540003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 739740 + ... + 740260.

Almost surely, 2^385540000 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 385540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487995354).

385540000 is an abundant number, since it is smaller than the sum of its proper divisors (590450708).

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

385540000 is an equidigital number, since it uses as much as digits as its factorization.

385540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 385540000 is about 19635.1725227969. The cubic root of 385540000 is about 727.8185958671.

Adding to 385540000 its reverse (45583), we get a palindrome (385585583).

The spelling of 385540000 in words is "three hundred eighty-five million, five hundred forty thousand".