398349180 has 72 divisors (see below), whose sum is σ = 1215828432. Its totient is φ = 105566976.

The previous prime is 398349157. The next prime is 398349181. The reversal of 398349180 is 81943893.

398349180 is a `hidden beast` number, since 3 + 9 + 83 + 491 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398349181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22552 + ... + 36128.

It is an arithmetic number, because the mean of its divisors is an integer number (16886506).

Almost surely, 2^398349180 is an apocalyptic number.

398349180 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 398349180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607914216).

398349180 is an abundant number, since it is smaller than the sum of its proper divisors (817479252).

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

398349180 is a wasteful number, since it uses less digits than its factorization.

398349180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13755 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 398349180 is about 19958.6868305508. The cubic root of 398349180 is about 735.7912899664.

The spelling of 398349180 in words is "three hundred ninety-eight million, three hundred forty-nine thousand, one hundred eighty".