1327970400 has 144 divisors (see below), whose sum is σ = 4341378384. Its totient is φ = 352583680.

The previous prime is 1327970339. The next prime is 1327970411. The reversal of 1327970400 is 40797231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615724 + ... + 617876.

It is an arithmetic number, because the mean of its divisors is an integer number (30148461).

Almost surely, 2^1327970400 is an apocalyptic number.

1327970400 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 1327970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170689192).

1327970400 is an abundant number, since it is smaller than the sum of its proper divisors (3013407984).

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

1327970400 is a wasteful number, since it uses less digits than its factorization.

1327970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1327970400 is about 36441.3281865521. The cubic root of 1327970400 is about 1099.1647654124.

The spelling of 1327970400 in words is "one billion, three hundred twenty-seven million, nine hundred seventy thousand, four hundred".