395047800 has 288 divisors, whose sum is σ = 1583938800. Its totient is φ = 90236160.

The previous prime is 395047799. The next prime is 395047801. The reversal of 395047800 is 8740593.

It is an interprime number because it is at equal distance from previous prime (395047799) and next prime (395047801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395047801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263854 + ... + 265346.

Almost surely, 2^395047800 is an apocalyptic number.

395047800 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 395047800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791969400).

395047800 is an abundant number, since it is smaller than the sum of its proper divisors (1188891000).

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

395047800 is a wasteful number, since it uses less digits than its factorization.

395047800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 395047800 is about 19875.8094174803. The cubic root of 395047800 is about 733.7529875365.

The spelling of 395047800 in words is "three hundred ninety-five million, forty-seven thousand, eight hundred".