1172448000 has 576 divisors, whose sum is σ = 4591641600. Its totient is φ = 293990400.

The previous prime is 1172447987. The next prime is 1172448001. The reversal of 1172448000 is 8442711.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172448001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19871971 + ... + 19872029.

It is an arithmetic number, because the mean of its divisors is an integer number (7971600).

Almost surely, 2^1172448000 is an apocalyptic number.

1172448000 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 1172448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295820800).

1172448000 is an abundant number, since it is smaller than the sum of its proper divisors (3419193600).

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

1172448000 is an equidigital number, since it uses as much as digits as its factorization.

1172448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1172448000 is about 34241.0280219505. The cubic root of 1172448000 is about 1054.4626389763.

The spelling of 1172448000 in words is "one billion, one hundred seventy-two million, four hundred forty-eight thousand".