398664000 has 504 divisors, whose sum is σ = 1673598888. Its totient is φ = 90316800.

The previous prime is 398663989. The next prime is 398664043. The reversal of 398664000 is 466893.

398664000 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105021504 + 293642496 = 10248^2 + 17136^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527944 + ... + 3528056.

Almost surely, 2^398664000 is an apocalyptic number.

398664000 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 398664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836799444).

398664000 is an abundant number, since it is smaller than the sum of its proper divisors (1274934888).

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

398664000 is a wasteful number, since it uses less digits than its factorization.

398664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 398664000 is about 19966.5720643279. The cubic root of 398664000 is about 735.9850737364.

The spelling of 398664000 in words is "three hundred ninety-eight million, six hundred sixty-four thousand".