399760 has 40 divisors (see below), whose sum is σ = 982080. Its totient is φ = 150912.

The previous prime is 399757. The next prime is 399761. The reversal of 399760 is 67993.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (399761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389 + ... + 1651.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2³⁹⁹⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

399760 is an abundant number, since it is smaller than the sum of its proper divisors (582320).

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

399760 is a wasteful number, since it uses less digits than its factorization.

399760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 399760 is about 632.2657669050. The cubic root of 399760 is about 73.6658908986.

The spelling of 399760 in words is "three hundred ninety-nine thousand, seven hundred sixty".