1398460800 has 768 divisors, whose sum is σ = 5737132800. Its totient is φ = 294912000.

The previous prime is 1398460787. The next prime is 1398460813. The reversal of 1398460800 is 80648931.

It is an interprime number because it is at equal distance from previous prime (1398460787) and next prime (1398460813).

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 95 ways as a sum of consecutive naturals, for example, 34108780 + ... + 34108820.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2^1398460800 is an apocalyptic number.

1398460800 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 1398460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868566400).

1398460800 is an abundant number, since it is smaller than the sum of its proper divisors (4338672000).

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

1398460800 is a wasteful number, since it uses less digits than its factorization.

1398460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1398460800 is about 37395.9997860734. Note that the first 3 decimals coincide. The cubic root of 1398460800 is about 1118.2788188824.

The spelling of 1398460800 in words is "one billion, three hundred ninety-eight million, four hundred sixty thousand, eight hundred".