395333400 has 384 divisors, whose sum is σ = 1571328000. Its totient is φ = 79833600.

The previous prime is 395333387. The next prime is 395333401. The reversal of 395333400 is 4333593.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395333401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1986501 + ... + 1986699.

It is an arithmetic number, because the mean of its divisors is an integer number (4092000).

Almost surely, 2^395333400 is an apocalyptic number.

395333400 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 395333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

395333400 is an abundant number, since it is smaller than the sum of its proper divisors (1175994600).

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

395333400 is a wasteful number, since it uses less digits than its factorization.

395333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 30.

The square root of 395333400 is about 19882.9927324837. The cubic root of 395333400 is about 733.9297673026.

Adding to 395333400 its reverse (4333593), we get a palindrome (399666993).

The spelling of 395333400 in words is "three hundred ninety-five million, three hundred thirty-three thousand, four hundred".