385012400 has 60 divisors (see below), whose sum is σ = 934622472. Its totient is φ = 152401920.

The previous prime is 385012393. The next prime is 385012403. The reversal of 385012400 is 4210583.

It is not an unprimeable number, because it can be changed into a prime (385012403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33839 + ... + 43761.

Almost surely, 2^385012400 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 385012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467311236).

385012400 is an abundant number, since it is smaller than the sum of its proper divisors (549610072).

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

385012400 is a wasteful number, since it uses less digits than its factorization.

385012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 385012400 is about 19621.7328490631. The cubic root of 385012400 is about 727.4864449555.

Adding to 385012400 its reverse (4210583), we get a palindrome (389222983).

The spelling of 385012400 in words is "three hundred eighty-five million, twelve thousand, four hundred".