1468197792 has 192 divisors, whose sum is σ = 4773686400. Its totient is φ = 436285440.

The previous prime is 1468197791. The next prime is 1468197799. The reversal of 1468197792 is 2977918641.

1468197792 is a `hidden beast` number, since 1 + 468 + 1 + 97 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1468197791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276442 + ... + 281702.

It is an arithmetic number, because the mean of its divisors is an integer number (24862950).

Almost surely, 2^1468197792 is an apocalyptic number.

1468197792 is a gapful number since it is divisible by the number (12) 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 1468197792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386843200).

1468197792 is an abundant number, since it is smaller than the sum of its proper divisors (3305488608).

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

1468197792 is a wasteful number, since it uses less digits than its factorization.

1468197792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5302 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 1468197792 is about 38317.0691989875. The cubic root of 1468197792 is about 1136.5665113959.

The spelling of 1468197792 in words is "one billion, four hundred sixty-eight million, one hundred ninety-seven thousand, seven hundred ninety-two".