1290246400 has 81 divisors (see below), whose sum is σ = 3200689891. Its totient is φ = 514949120.

The previous prime is 1290246389. The next prime is 1290246413. The reversal of 1290246400 is 46420921.

The square root of 1290246400 is 35920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 1289097216 = 1072^2 + 35904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2873376 + ... + 2873824.

Almost surely, 2^1290246400 is an apocalyptic number.

1290246400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1290246400 is the 35920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290246400

1290246400 is an abundant number, since it is smaller than the sum of its proper divisors (1910443491).

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

1290246400 is an frugal number, since it uses more digits than its factorization.

1290246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 1290246400 is about 1088.6565385739.

It can be divided in two parts, 129024 and 6400, that added together give a square (135424 = 368²).

The spelling of 1290246400 in words is "one billion, two hundred ninety million, two hundred forty-six thousand, four hundred".