398638848 has 144 divisors (see below), whose sum is σ = 1183230720. Its totient is φ = 118407168.

The previous prime is 398638847. The next prime is 398638861. The reversal of 398638848 is 848836893.

It is a super-2 number, since 2×398638848² = 317825862269534208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398638841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247261 + ... + 248867.

It is an arithmetic number, because the mean of its divisors is an integer number (8216880).

Almost surely, 2^398638848 is an apocalyptic number.

398638848 is a gapful number since it is divisible by the number (38) 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 398638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591615360).

398638848 is an abundant number, since it is smaller than the sum of its proper divisors (784591872).

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

398638848 is a wasteful number, since it uses less digits than its factorization.

398638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1648 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The square root of 398638848 is about 19965.9422016593. The cubic root of 398638848 is about 735.9695954674.

The spelling of 398638848 in words is "three hundred ninety-eight million, six hundred thirty-eight thousand, eight hundred forty-eight".