398934720 has 140 divisors (see below), whose sum is σ = 1419173184. Its totient is φ = 106375680.

The previous prime is 398934719. The next prime is 398934721. The reversal of 398934720 is 27439893.

It is a happy number.

398934720 is a `hidden beast` number, since 3 + 98 + 93 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (398934719) and next prime (398934721).

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

It is not an unprimeable number, because it can be changed into a prime (398934721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18225 + ... + 33615.

Almost surely, 2^398934720 is an apocalyptic number.

398934720 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 398934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709586592).

398934720 is an abundant number, since it is smaller than the sum of its proper divisors (1020238464).

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

398934720 is a wasteful number, since it uses less digits than its factorization.

398934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15420 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 398934720 is about 19973.3502447636. The cubic root of 398934720 is about 736.1516306997.

The spelling of 398934720 in words is "three hundred ninety-eight million, nine hundred thirty-four thousand, seven hundred twenty".