395029800 has 288 divisors, whose sum is σ = 1472852160. Its totient is φ = 94080000.

The previous prime is 395029781. The next prime is 395029819. The reversal of 395029800 is 8920593.

It is an interprime number because it is at equal distance from previous prime (395029781) and next prime (395029819).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1405660 + ... + 1405940.

It is an arithmetic number, because the mean of its divisors is an integer number (5114070).

Almost surely, 2^395029800 is an apocalyptic number.

395029800 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 395029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736426080).

395029800 is an abundant number, since it is smaller than the sum of its proper divisors (1077822360).

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

395029800 is a wasteful number, since it uses less digits than its factorization.

395029800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 395029800 is about 19875.3566005745. The cubic root of 395029800 is about 733.7418431009.

The spelling of 395029800 in words is "three hundred ninety-five million, twenty-nine thousand, eight hundred".