398826000 has 120 divisors (see below), whose sum is σ = 1393029144. Its totient is φ = 106348800.

The previous prime is 398825953. The next prime is 398826011. The reversal of 398826000 is 628893.

398826000 is a `hidden beast` number, since 398 + 8 + 260 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 398721024 = 324^2 + 19968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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, 6922 + ... + 29078.

Almost surely, 2^398826000 is an apocalyptic number.

398826000 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 398826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696514572).

398826000 is an abundant number, since it is smaller than the sum of its proper divisors (994203144).

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

398826000 is a wasteful number, since it uses less digits than its factorization.

398826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22186 (or 22167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 398826000 is about 19970.6284327760. The cubic root of 398826000 is about 736.0847511888.

The spelling of 398826000 in words is "three hundred ninety-eight million, eight hundred twenty-six thousand".