398577379200 has 3072 divisors, whose sum is σ = 1937875968000. Its totient is φ = 69274828800.

The previous prime is 398577379171. The next prime is 398577379201. The reversal of 398577379200 is 2973775893.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398577379201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6755548771 + ... + 6755548829.

It is an arithmetic number, because the mean of its divisors is an integer number (630819000).

Almost surely, 2^398577379200 is an apocalyptic number.

398577379200 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 398577379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968937984000).

398577379200 is an abundant number, since it is smaller than the sum of its proper divisors (1539298588800).

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

398577379200 is a wasteful number, since it uses less digits than its factorization.

398577379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

It can be divided in two parts, 398577 and 379200, that added together give a palindrome (777777).

The spelling of 398577379200 in words is "three hundred ninety-eight billion, five hundred seventy-seven million, three hundred seventy-nine thousand, two hundred".