395902080 has 320 divisors, whose sum is σ = 1617295680. Its totient is φ = 90408960.

The previous prime is 395902051. The next prime is 395902081. The reversal of 395902080 is 80209593.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (395902081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362335 + ... + 363425.

It is an arithmetic number, because the mean of its divisors is an integer number (5054049).

Almost surely, 2^395902080 is an apocalyptic number.

395902080 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 395902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808647840).

395902080 is an abundant number, since it is smaller than the sum of its proper divisors (1221393600).

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

395902080 is a wasteful number, since it uses less digits than its factorization.

395902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1108 counting only the distinct ones).

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

The square root of 395902080 is about 19897.2882574486. The cubic root of 395902080 is about 734.2815136285.

The spelling of 395902080 in words is "three hundred ninety-five million, nine hundred two thousand, eighty".