398875144800 has 1152 divisors, whose sum is σ = 1531611970560. Its totient is φ = 89954304000.

The previous prime is 398875144799. The next prime is 398875144817. The reversal of 398875144800 is 8441578893.

It is a super-2 number, since 2×398875144800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4481743156 + ... + 4481743244.

It is an arithmetic number, because the mean of its divisors is an integer number (1329524280).

Almost surely, 2^398875144800 is an apocalyptic number.

398875144800 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 398875144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765805985280).

398875144800 is an abundant number, since it is smaller than the sum of its proper divisors (1132736825760).

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

398875144800 is a wasteful number, since it uses less digits than its factorization.

398875144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 398875144800 in words is "three hundred ninety-eight billion, eight hundred seventy-five million, one hundred forty-four thousand, eight hundred".