398748800 has 72 divisors (see below), whose sum is σ = 987832515. Its totient is φ = 159047680.

The previous prime is 398748797. The next prime is 398748809. The reversal of 398748800 is 8847893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 108659776 + 290089024 = 10424^2 + 17032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14120.

It is not an unprimeable number, because it can be changed into a prime (398748809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1129424 + ... + 1129776.

Almost surely, 2^398748800 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 398748800

398748800 is an abundant number, since it is smaller than the sum of its proper divisors (589083715).

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

398748800 is an frugal number, since it uses more digits than its factorization.

398748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 398748800 is about 19968.6955007081. The cubic root of 398748800 is about 736.0372539429.

The spelling of 398748800 in words is "three hundred ninety-eight million, seven hundred forty-eight thousand, eight hundred".