399906000 has 240 divisors, whose sum is σ = 1505059920. Its totient is φ = 98380800.

The previous prime is 399905981. The next prime is 399906043. The reversal of 399906000 is 609993.

It can be written as a sum of positive squares in 8 ways, for example, as 271854144 + 128051856 = 16488^2 + 11316^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233146 + ... + 234854.

It is an arithmetic number, because the mean of its divisors is an integer number (6271083).

Almost surely, 2^399906000 is an apocalyptic number.

399906000 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 399906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752529960).

399906000 is an abundant number, since it is smaller than the sum of its proper divisors (1105153920).

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

399906000 is a wasteful number, since it uses less digits than its factorization.

399906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 399906000 is about 19997.6498619213. The cubic root of 399906000 is about 736.7485787129.

The spelling of 399906000 in words is "three hundred ninety-nine million, nine hundred six thousand".