398338560 has 400 divisors, whose sum is σ = 1524016296. Its totient is φ = 99090432.

The previous prime is 398338547. The next prime is 398338573. The reversal of 398338560 is 65833893.

398338560 is a `hidden beast` number, since 3 + 9 + 83 + 3 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (398338547) and next prime (398338573).

It can be written as a sum of positive squares in 4 ways, for example, as 255488256 + 142850304 = 15984^2 + 11952^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3525064 + ... + 3525176.

Almost surely, 2^398338560 is an apocalyptic number.

398338560 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 398338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762008148).

398338560 is an abundant number, since it is smaller than the sum of its proper divisors (1125677736).

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

398338560 is a wasteful number, since it uses less digits than its factorization.

398338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 398338560 is about 19958.4207792100. The cubic root of 398338560 is about 735.7847511697.

The spelling of 398338560 in words is "three hundred ninety-eight million, three hundred thirty-eight thousand, five hundred sixty".