1398993408 has 270 divisors, whose sum is σ = 4413286449. Its totient is φ = 426553344.

The previous prime is 1398993341. The next prime is 1398993419. The reversal of 1398993408 is 8043998931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1398161664 + 831744 = 37392^2 + 912^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=26448.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48241138 + ... + 48241166.

Almost surely, 2^1398993408 is an apocalyptic number.

1398993408 is a gapful number since it is divisible by the number (18) 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 1398993408

1398993408 is an abundant number, since it is smaller than the sum of its proper divisors (3014293041).

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

1398993408 is an equidigital number, since it uses as much as digits as its factorization.

1398993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 1398993408 is about 37403.1202976436. The cubic root of 1398993408 is about 1118.4207674802.

The spelling of 1398993408 in words is "one billion, three hundred ninety-eight million, nine hundred ninety-three thousand, four hundred eight".