1198478400 has 336 divisors, whose sum is σ = 4585313664. Its totient is φ = 268369920.

The previous prime is 1198478381. The next prime is 1198478429. The reversal of 1198478400 is 48748911.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1780464 + ... + 1781136.

Almost surely, 2^1198478400 is an apocalyptic number.

1198478400 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 1198478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292656832).

1198478400 is an abundant number, since it is smaller than the sum of its proper divisors (3386835264).

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

1198478400 is a wasteful number, since it uses less digits than its factorization.

1198478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 1198478400 is about 34619.0467806380. The cubic root of 1198478400 is about 1062.2092288526.

The spelling of 1198478400 in words is "one billion, one hundred ninety-eight million, four hundred seventy-eight thousand, four hundred".