390197760 has 240 divisors, whose sum is σ = 1329932736. Its totient is φ = 97411072.

The previous prime is 390197707. The next prime is 390197761. The reversal of 390197760 is 67791093.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (390197761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8302057 + ... + 8302103.

Almost surely, 2^390197760 is an apocalyptic number.

390197760 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 390197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664966368).

390197760 is an abundant number, since it is smaller than the sum of its proper divisors (939734976).

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

390197760 is an equidigital number, since it uses as much as digits as its factorization.

390197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 390197760 is about 19753.4240069918. The cubic root of 390197760 is about 730.7378290989.

The spelling of 390197760 in words is "three hundred ninety million, one hundred ninety-seven thousand, seven hundred sixty".