1270832400 has 180 divisors, whose sum is σ = 4432716288. Its totient is φ = 337155840.

The previous prime is 1270832393. The next prime is 1270832411. The reversal of 1270832400 is 42380721.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 802009 + ... + 803591.

Almost surely, 2^1270832400 is an apocalyptic number.

1270832400 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 1270832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216358144).

1270832400 is an abundant number, since it is smaller than the sum of its proper divisors (3161883888).

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

1270832400 is a wasteful number, since it uses less digits than its factorization.

1270832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1270832400 is about 35648.7363029884. The cubic root of 1270832400 is about 1083.1686776709.

The spelling of 1270832400 in words is "one billion, two hundred seventy million, eight hundred thirty-two thousand, four hundred".