1398854400 has 216 divisors, whose sum is σ = 4731770064. Its totient is φ = 363724800.

The previous prime is 1398854377. The next prime is 1398854419. The reversal of 1398854400 is 44588931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786312 + ... + 788088.

Almost surely, 2^1398854400 is an apocalyptic number.

1398854400 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 1398854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365885032).

1398854400 is an abundant number, since it is smaller than the sum of its proper divisors (3332915664).

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

1398854400 is a wasteful number, since it uses less digits than its factorization.

1398854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1398854400 is about 37401.2620107932. The cubic root of 1398854400 is about 1118.3837230875.

The spelling of 1398854400 in words is "one billion, three hundred ninety-eight million, eight hundred fifty-four thousand, four hundred".