1197456800 has 72 divisors (see below), whose sum is σ = 2941124256. Its totient is φ = 476061440.

The previous prime is 1197456781. The next prime is 1197456803. The reversal of 1197456800 is 86547911.

It is not an unprimeable number, because it can be changed into a prime (1197456803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129119 + ... + 138081.

It is an arithmetic number, because the mean of its divisors is an integer number (40848948).

Almost surely, 2^1197456800 is an apocalyptic number.

1197456800 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 1197456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470562128).

1197456800 is an abundant number, since it is smaller than the sum of its proper divisors (1743667456).

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

1197456800 is a wasteful number, since it uses less digits than its factorization.

1197456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 1197456800 is about 34604.2887515406. The cubic root of 1197456800 is about 1061.9073289804.

The spelling of 1197456800 in words is "one billion, one hundred ninety-seven million, four hundred fifty-six thousand, eight hundred".