1320290400 has 288 divisors, whose sum is σ = 5050176768. Its totient is φ = 295372800.

The previous prime is 1320290399. The next prime is 1320290407. The reversal of 1320290400 is 40920231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320290407) 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, 341277 + ... + 345123.

It is an arithmetic number, because the mean of its divisors is an integer number (17535336).

Almost surely, 2^1320290400 is an apocalyptic number.

1320290400 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 1320290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525088384).

1320290400 is an abundant number, since it is smaller than the sum of its proper divisors (3729886368).

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

1320290400 is a wasteful number, since it uses less digits than its factorization.

1320290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1320290400 is about 36335.8005278541. The cubic root of 1320290400 is about 1097.0417484175.

The spelling of 1320290400 in words is "one billion, three hundred twenty million, two hundred ninety thousand, four hundred".