398221824 has 480 divisors, whose sum is σ = 1489029696. Its totient is φ = 92897280.

The previous prime is 398221819. The next prime is 398221841. The reversal of 398221824 is 428122893.

It is a super-2 number, since 2×398221824² = 317161242219773952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (55296) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10762734 + ... + 10762770.

Almost surely, 2^398221824 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 398221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744514848).

398221824 is an abundant number, since it is smaller than the sum of its proper divisors (1090807872).

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

398221824 is a wasteful number, since it uses less digits than its factorization.

398221824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 398221824 is about 19955.4960850388. The cubic root of 398221824 is about 735.7128684638.

It can be divided in two parts, 398 and 221824, that added together give a palindrome (222222).

The spelling of 398221824 in words is "three hundred ninety-eight million, two hundred twenty-one thousand, eight hundred twenty-four".