1321492800 has 336 divisors, whose sum is σ = 4571707392. Its totient is φ = 333772800.

The previous prime is 1321492763. The next prime is 1321492801. The reversal of 1321492800 is 82941231.

It is a super-3 number, since 3×1321492800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321492801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12350347 + ... + 12350453.

It is an arithmetic number, because the mean of its divisors is an integer number (13606272).

Almost surely, 2^1321492800 is an apocalyptic number.

1321492800 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 1321492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285853696).

1321492800 is an abundant number, since it is smaller than the sum of its proper divisors (3250214592).

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

1321492800 is a wasteful number, since it uses less digits than its factorization.

1321492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1321492800 is about 36352.3424279647. The cubic root of 1321492800 is about 1097.3746758722.

The spelling of 1321492800 in words is "one billion, three hundred twenty-one million, four hundred ninety-two thousand, eight hundred".