1320493200 has 240 divisors, whose sum is σ = 4654868736. Its totient is φ = 317952000.

The previous prime is 1320493199. The next prime is 1320493201. The reversal of 1320493200 is 23940231.

It is an interprime number because it is at equal distance from previous prime (1320493199) and next prime (1320493201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1320493201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732300 + ... + 734100.

Almost surely, 2^1320493200 is an apocalyptic number.

1320493200 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 1320493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327434368).

1320493200 is an abundant number, since it is smaller than the sum of its proper divisors (3334375536).

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

1320493200 is a wasteful number, since it uses less digits than its factorization.

1320493200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1320493200 is about 36338.5910568916. The cubic root of 1320493200 is about 1097.0979150195.

The spelling of 1320493200 in words is "one billion, three hundred twenty million, four hundred ninety-three thousand, two hundred".