396809280 has 336 divisors, whose sum is σ = 1619829120. Its totient is φ = 90699264.

The previous prime is 396809261. The next prime is 396809293. The reversal of 396809280 is 82908693.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56687037 + ... + 56687043.

It is an arithmetic number, because the mean of its divisors is an integer number (4820920).

Almost surely, 2^396809280 is an apocalyptic number.

396809280 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 396809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809914560).

396809280 is an abundant number, since it is smaller than the sum of its proper divisors (1223019840).

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

396809280 is an frugal number, since it uses more digits than its factorization.

396809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 396809280 is about 19920.0722890255. The cubic root of 396809280 is about 734.8419485230.

The spelling of 396809280 in words is "three hundred ninety-six million, eight hundred nine thousand, two hundred eighty".