398260224 has 288 divisors, whose sum is σ = 1287861120. Its totient is φ = 117964800.

The previous prime is 398260223. The next prime is 398260231. The reversal of 398260224 is 422062893.

398260224 is a `hidden beast` number, since 398 + 260 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×398260224² = 317222412041060352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398260223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9713644 + ... + 9713684.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2^398260224 is an apocalyptic number.

398260224 is a gapful number since it is divisible by the number (34) 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 398260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643930560).

398260224 is an abundant number, since it is smaller than the sum of its proper divisors (889600896).

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

398260224 is a wasteful number, since it uses less digits than its factorization.

398260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 398260224 is about 19956.4582027974. The cubic root of 398260224 is about 735.7365156411.

The spelling of 398260224 in words is "three hundred ninety-eight million, two hundred sixty thousand, two hundred twenty-four".