385334400 has 384 divisors, whose sum is σ = 1434283200. Its totient is φ = 90112000.

The previous prime is 385334399. The next prime is 385334401. The reversal of 385334400 is 4433583.

It is an interprime number because it is at equal distance from previous prime (385334399) and next prime (385334401).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (385334401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4329556 + ... + 4329644.

Almost surely, 2^385334400 is an apocalyptic number.

385334400 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 385334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717141600).

385334400 is an abundant number, since it is smaller than the sum of its proper divisors (1048948800).

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

385334400 is a wasteful number, since it uses less digits than its factorization.

385334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 385334400 is about 19629.9363218529. The cubic root of 385334400 is about 727.6891963141.

Adding to 385334400 its reverse (4433583), we get a palindrome (389767983).

The spelling of 385334400 in words is "three hundred eighty-five million, three hundred thirty-four thousand, four hundred".