395432280 has 240 divisors, whose sum is σ = 1384162560. Its totient is φ = 101243520.

The previous prime is 395432273. The next prime is 395432281. The reversal of 395432280 is 82234593.

395432280 is a `hidden beast` number, since 39 + 543 + 2 + 2 + 80 = 666.

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 (395432281) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3113577 + ... + 3113703.

It is an arithmetic number, because the mean of its divisors is an integer number (5767344).

Almost surely, 2^395432280 is an apocalyptic number.

395432280 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 395432280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692081280).

395432280 is an abundant number, since it is smaller than the sum of its proper divisors (988730280).

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

395432280 is a wasteful number, since it uses less digits than its factorization.

395432280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 395432280 is about 19885.4791242253. The cubic root of 395432280 is about 733.9909518840.

The spelling of 395432280 in words is "three hundred ninety-five million, four hundred thirty-two thousand, two hundred eighty".