399924000 has 576 divisors, whose sum is σ = 1739162880. Its totient is φ = 87436800.

The previous prime is 399923999. The next prime is 399924001. The reversal of 399924000 is 429993.

It is an interprime number because it is at equal distance from previous prime (399923999) and next prime (399924001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399924001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17387989 + ... + 17388011.

It is an arithmetic number, because the mean of its divisors is an integer number (3019380).

Almost surely, 2^399924000 is an apocalyptic number.

399924000 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 399924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869581440).

399924000 is an abundant number, since it is smaller than the sum of its proper divisors (1339238880).

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

399924000 is a wasteful number, since it uses less digits than its factorization.

399924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 399924000 is about 19998.0999097414. The cubic root of 399924000 is about 736.7596323734.

The spelling of 399924000 in words is "three hundred ninety-nine million, nine hundred twenty-four thousand".