385142400 has 288 divisors, whose sum is σ = 1410757920. Its totient is φ = 99993600.

The previous prime is 385142399. The next prime is 385142423. The reversal of 385142400 is 4241583.

385142400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1238245 + ... + 1238555.

It is an arithmetic number, because the mean of its divisors is an integer number (4898465).

Almost surely, 2^385142400 is an apocalyptic number.

385142400 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 385142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705378960).

385142400 is an abundant number, since it is smaller than the sum of its proper divisors (1025615520).

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

385142400 is a wasteful number, since it uses less digits than its factorization.

385142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 385142400 is about 19625.0452228778. The cubic root of 385142400 is about 727.5683146958.

Adding to 385142400 its reverse (4241583), we get a palindrome (389383983).

The spelling of 385142400 in words is "three hundred eighty-five million, one hundred forty-two thousand, four hundred".