1197484800 has 216 divisors, whose sum is σ = 4039074816. Its totient is φ = 312299520.

The previous prime is 1197484789. The next prime is 1197484807. The reversal of 1197484800 is 84847911.

It is not an unprimeable number, because it can be changed into a prime (1197484807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901737 + ... + 903063.

Almost surely, 2^1197484800 is an apocalyptic number.

1197484800 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 1197484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019537408).

1197484800 is an abundant number, since it is smaller than the sum of its proper divisors (2841590016).

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

1197484800 is a wasteful number, since it uses less digits than its factorization.

1197484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1384 counting only the distinct ones).

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

The square root of 1197484800 is about 34604.6933233051. The cubic root of 1197484800 is about 1061.9156057364.

The spelling of 1197484800 in words is "one billion, one hundred ninety-seven million, four hundred eighty-four thousand, eight hundred".