399180400 has 120 divisors (see below), whose sum is σ = 1037880000. Its totient is φ = 146964480.

The previous prime is 399180377. The next prime is 399180409. The reversal of 399180400 is 4081993.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399180409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 318976 + ... + 320224.

It is an arithmetic number, because the mean of its divisors is an integer number (8649000).

Almost surely, 2^399180400 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 399180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518940000).

399180400 is an abundant number, since it is smaller than the sum of its proper divisors (638699600).

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

399180400 is a wasteful number, since it uses less digits than its factorization.

399180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 399180400 is about 19979.4994932306. The cubic root of 399180400 is about 736.3027169215.

The spelling of 399180400 in words is "three hundred ninety-nine million, one hundred eighty thousand, four hundred".