1398633600 has 384 divisors, whose sum is σ = 5673386880. Its totient is φ = 294912000.

The previous prime is 1398633583. The next prime is 1398633623. The reversal of 1398633600 is 63368931.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 872800 + ... + 874400.

It is an arithmetic number, because the mean of its divisors is an integer number (14774445).

Almost surely, 2^1398633600 is an apocalyptic number.

1398633600 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 1398633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836693440).

1398633600 is an abundant number, since it is smaller than the sum of its proper divisors (4274753280).

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

1398633600 is a wasteful number, since it uses less digits than its factorization.

1398633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 1398633600 is about 37398.3101222502. The cubic root of 1398633600 is about 1118.3248768106.

It can be divided in two parts, 13986 and 33600, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 1398633600 in words is "one billion, three hundred ninety-eight million, six hundred thirty-three thousand, six hundred".