395297280 has 640 divisors, whose sum is σ = 1728460800. Its totient is φ = 83607552.

The previous prime is 395297239. The next prime is 395297351. The reversal of 395297280 is 82792593.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192939 + ... + 9192981.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2^395297280 is an apocalyptic number.

395297280 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 395297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864230400).

395297280 is an abundant number, since it is smaller than the sum of its proper divisors (1333163520).

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

395297280 is a wasteful number, since it uses less digits than its factorization.

395297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 395297280 is about 19882.0843977688. The cubic root of 395297280 is about 733.9074145656.

The spelling of 395297280 in words is "three hundred ninety-five million, two hundred ninety-seven thousand, two hundred eighty".