398865600 has 336 divisors, whose sum is σ = 1662988800. Its totient is φ = 91100160.

The previous prime is 398865583. The next prime is 398865601. The reversal of 398865600 is 6568893.

398865600 is a `hidden beast` number, since 3 + 9 + 8 + 86 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398865601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 301741 + ... + 303059.

Almost surely, 2^398865600 is an apocalyptic number.

398865600 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 398865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831494400).

398865600 is an abundant number, since it is smaller than the sum of its proper divisors (1264123200).

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

398865600 is a wasteful number, since it uses less digits than its factorization.

398865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 398865600 is about 19971.6198641973. The cubic root of 398865600 is about 736.1091126826.

The spelling of 398865600 in words is "three hundred ninety-eight million, eight hundred sixty-five thousand, six hundred".