383342400 has 252 divisors, whose sum is σ = 1557540192. Its totient is φ = 87598080.

The previous prime is 383342383. The next prime is 383342417. The reversal of 383342400 is 4243383.

It is an interprime number because it is at equal distance from previous prime (383342383) and next prime (383342417).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

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, 98899 + ... + 102701.

Almost surely, 2^383342400 is an apocalyptic number.

383342400 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 383342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778770096).

383342400 is an abundant number, since it is smaller than the sum of its proper divisors (1174197792).

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

383342400 is a wasteful number, since it uses less digits than its factorization.

383342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 383342400 is about 19579.1317478585. The cubic root of 383342400 is about 726.4330908612.

Adding to 383342400 its reverse (4243383), we get a palindrome (387585783).

The spelling of 383342400 in words is "three hundred eighty-three million, three hundred forty-two thousand, four hundred".