398269440 has 352 divisors, whose sum is σ = 1469909760. Its totient is φ = 102187008.

The previous prime is 398269439. The next prime is 398269511. The reversal of 398269440 is 44962893.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5944287 + ... + 5944353.

It is an arithmetic number, because the mean of its divisors is an integer number (4175880).

Almost surely, 2^398269440 is an apocalyptic number.

398269440 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 398269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734954880).

398269440 is an abundant number, since it is smaller than the sum of its proper divisors (1071640320).

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

398269440 is a wasteful number, since it uses less digits than its factorization.

398269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 398269440 is about 19956.6891041575. The cubic root of 398269440 is about 735.7421907374.

The spelling of 398269440 in words is "three hundred ninety-eight million, two hundred sixty-nine thousand, four hundred forty".