398487600 has 450 divisors, whose sum is σ = 1670260284. Its totient is φ = 90720000.

The previous prime is 398487577. The next prime is 398487601. The reversal of 398487600 is 6784893.

It is a happy number.

398487600 is a `hidden beast` number, since 39 + 8 + 4 + 8 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is not an unprimeable number, because it can be changed into a prime (398487601) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 1587475 + ... + 1587725.

Almost surely, 2^398487600 is an apocalyptic number.

398487600 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 398487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835130142).

398487600 is an abundant number, since it is smaller than the sum of its proper divisors (1271772684).

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

398487600 is a wasteful number, since it uses less digits than its factorization.

398487600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 398487600 is about 19962.1541923711. The cubic root of 398487600 is about 735.8765053510.

The spelling of 398487600 in words is "three hundred ninety-eight million, four hundred eighty-seven thousand, six hundred".