398522880 has 360 divisors, whose sum is σ = 1610083332. Its totient is φ = 90832896.

The previous prime is 398522879. The next prime is 398522881. The reversal of 398522880 is 88225893.

It is an interprime number because it is at equal distance from previous prime (398522879) and next prime (398522881).

It can be written as a sum of positive squares in 2 ways, for example, as 392990976 + 5531904 = 19824^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (398522881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128784 + ... + 1129136.

Almost surely, 2^398522880 is an apocalyptic number.

398522880 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 398522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805041666).

398522880 is an abundant number, since it is smaller than the sum of its proper divisors (1211560452).

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

398522880 is a wasteful number, since it uses less digits than its factorization.

398522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 398522880 is about 19963.0378449774. The cubic root of 398522880 is about 735.8982215909.

The spelling of 398522880 in words is "three hundred ninety-eight million, five hundred twenty-two thousand, eight hundred eighty".