1321850400 has 216 divisors, whose sum is σ = 4660482960. Its totient is φ = 325278720.

The previous prime is 1321850393. The next prime is 1321850407. The reversal of 1321850400 is 40581231.

It is an interprime number because it is at equal distance from previous prime (1321850393) and next prime (1321850407).

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 (1321850407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403971 + ... + 407229.

It is an arithmetic number, because the mean of its divisors is an integer number (21576310).

Almost surely, 2^1321850400 is an apocalyptic number.

1321850400 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 1321850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330241480).

1321850400 is an abundant number, since it is smaller than the sum of its proper divisors (3338632560).

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

1321850400 is a wasteful number, since it uses less digits than its factorization.

1321850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1321850400 is about 36357.2606228797. The cubic root of 1321850400 is about 1097.4736512614.

The spelling of 1321850400 in words is "one billion, three hundred twenty-one million, eight hundred fifty thousand, four hundred".