1398434240 has 224 divisors, whose sum is σ = 4002877440. Its totient is φ = 455307264.

The previous prime is 1398434239. The next prime is 1398434243. The reversal of 1398434240 is 424348931.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1398434194 and 1398434203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398434243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895181 + ... + 3895539.

Almost surely, 2^1398434240 is an apocalyptic number.

1398434240 is a gapful number since it is divisible by the number (10) 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 1398434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001438720).

1398434240 is an abundant number, since it is smaller than the sum of its proper divisors (2604443200).

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

1398434240 is a wasteful number, since it uses less digits than its factorization.

1398434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 1398434240 is about 37395.6446661907. The cubic root of 1398434240 is about 1118.2717392719.

The spelling of 1398434240 in words is "one billion, three hundred ninety-eight million, four hundred thirty-four thousand, two hundred forty".