395212800 has 288 divisors, whose sum is σ = 1364912640. Its totient is φ = 100761600.

The previous prime is 395212793. The next prime is 395212819. The reversal of 395212800 is 8212593.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761559 + ... + 4761641.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^395212800 is an apocalyptic number.

395212800 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 395212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

395212800 is an abundant number, since it is smaller than the sum of its proper divisors (969699840).

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

395212800 is a wasteful number, since it uses less digits than its factorization.

395212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 395212800 is about 19879.9597585106. The cubic root of 395212800 is about 733.8551290927.

The spelling of 395212800 in words is "three hundred ninety-five million, two hundred twelve thousand, eight hundred".