399828448224 has 72 divisors (see below), whose sum is σ = 1137547953360. Its totient is φ = 133213344768.

The previous prime is 399828448223. The next prime is 399828448289. The reversal of 399828448224 is 422844828993.

399828448224 is a `hidden beast` number, since 3 + 9 + 98 + 284 + 48 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399828448223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287109 + ... + 939195.

It is an arithmetic number, because the mean of its divisors is an integer number (15799277130).

Almost surely, 2^399828448224 is an apocalyptic number.

It is an amenable number.

399828448224 is an abundant number, since it is smaller than the sum of its proper divisors (737719505136).

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

399828448224 is a wasteful number, since it uses less digits than its factorization.

399828448224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654232 (or 654221 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 399828448224 in words is "three hundred ninety-nine billion, eight hundred twenty-eight million, four hundred forty-eight thousand, two hundred twenty-four".