399873120 has 96 divisors (see below), whose sum is σ = 1264999680. Its totient is φ = 106176000.

The previous prime is 399873077. The next prime is 399873121. The reversal of 399873120 is 21378993.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399873121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118821 + ... + 122139.

It is an arithmetic number, because the mean of its divisors is an integer number (13177080).

Almost surely, 2^399873120 is an apocalyptic number.

399873120 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 399873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632499840).

399873120 is an abundant number, since it is smaller than the sum of its proper divisors (865126560).

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

399873120 is a wasteful number, since it uses less digits than its factorization.

399873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 399873120 is about 19996.8277484205. The cubic root of 399873120 is about 736.7283865034.

It can be divided in two parts, 399873 and 120, that added together give a palindrome (399993).

The spelling of 399873120 in words is "three hundred ninety-nine million, eight hundred seventy-three thousand, one hundred twenty".