378598400 has 132 divisors (see below), whose sum is σ = 980791392. Its totient is φ = 144629760.

The previous prime is 378598379. The next prime is 378598417. The reversal of 378598400 is 4895873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588479 + ... + 589121.

Almost surely, 2^378598400 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 378598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490395696).

378598400 is an abundant number, since it is smaller than the sum of its proper divisors (602192992).

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

378598400 is a wasteful number, since it uses less digits than its factorization.

378598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 378598400 is about 19457.6051969403. The cubic root of 378598400 is about 723.4240201918.

The spelling of 378598400 in words is "three hundred seventy-eight million, five hundred ninety-eight thousand, four hundred".