398784400 has 120 divisors (see below), whose sum is σ = 1110516224. Its totient is φ = 134784000.

The previous prime is 398784391. The next prime is 398784431. The reversal of 398784400 is 4487893.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203425 + ... + 205375.

Almost surely, 2^398784400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555258112).

398784400 is an abundant number, since it is smaller than the sum of its proper divisors (711731824).

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

398784400 is a wasteful number, since it uses less digits than its factorization.

398784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 398784400 is about 19969.5868760473. The cubic root of 398784400 is about 736.0591575795.

The spelling of 398784400 in words is "three hundred ninety-eight million, seven hundred eighty-four thousand, four hundred".