390820896 has 96 divisors (see below), whose sum is σ = 1150269120. Its totient is φ = 129088512.

The previous prime is 390820867. The next prime is 390820921. The reversal of 390820896 is 698028093.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 95631 + ... + 99633.

It is an arithmetic number, because the mean of its divisors is an integer number (11981970).

Almost surely, 2^390820896 is an apocalyptic number.

390820896 is a gapful number since it is divisible by the number (36) 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 390820896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575134560).

390820896 is an abundant number, since it is smaller than the sum of its proper divisors (759448224).

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

390820896 is a wasteful number, since it uses less digits than its factorization.

390820896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4121 counting only the distinct ones).

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

The square root of 390820896 is about 19769.1905752360. The cubic root of 390820896 is about 731.1266121859.

The spelling of 390820896 in words is "three hundred ninety million, eight hundred twenty thousand, eight hundred ninety-six".