1398308400 has 240 divisors, whose sum is σ = 5094376320. Its totient is φ = 364089600.

The previous prime is 1398308389. The next prime is 1398308419. The reversal of 1398308400 is 48038931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462895 + ... + 465905.

It is an arithmetic number, because the mean of its divisors is an integer number (21226568).

Almost surely, 2^1398308400 is an apocalyptic number.

1398308400 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 1398308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547188160).

1398308400 is an abundant number, since it is smaller than the sum of its proper divisors (3696067920).

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

1398308400 is a wasteful number, since it uses less digits than its factorization.

1398308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1398308400 is about 37393.9620794588. The cubic root of 1398308400 is about 1118.2381951998.

The spelling of 1398308400 in words is "one billion, three hundred ninety-eight million, three hundred eight thousand, four hundred".