398005440 has 168 divisors, whose sum is σ = 1470154032. Its totient is φ = 90961920.

The previous prime is 398005423. The next prime is 398005451. The reversal of 398005440 is 44500893.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 42810 + ... + 51270.

Almost surely, 2^398005440 is an apocalyptic number.

398005440 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 398005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735077016).

398005440 is an abundant number, since it is smaller than the sum of its proper divisors (1072148592).

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

398005440 is a wasteful number, since it uses less digits than its factorization.

398005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 398005440 is about 19950.0736840745. The cubic root of 398005440 is about 735.5795881940.

The spelling of 398005440 in words is "three hundred ninety-eight million, five thousand, four hundred forty".