398401600 has 63 divisors (see below), whose sum is σ = 982285437. Its totient is φ = 159041280.

The previous prime is 398401589. The next prime is 398401651. The reversal of 398401600 is 6104893.

The square root of 398401600 is 19960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 143424576 + 254977024 = 11976^2 + 15968^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 798151 + ... + 798649.

Almost surely, 2^398401600 is an apocalyptic number.

398401600 is the 19960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398401600

398401600 is an abundant number, since it is smaller than the sum of its proper divisors (583883837).

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

398401600 is an frugal number, since it uses more digits than its factorization.

398401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 398401600 is about 735.8235635675.

Multiplying 398401600 by its product of nonzero digits (5184), we get a square (2065313894400 = 1437120²).

The spelling of 398401600 in words is "three hundred ninety-eight million, four hundred one thousand, six hundred".