1290580400 has 60 divisors (see below), whose sum is σ = 3104322144. Its totient is φ = 515616000.

The previous prime is 1290580399. The next prime is 1290580409. The reversal of 1290580400 is 40850921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290580409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491090 + ... + 493710.

Almost surely, 2^1290580400 is an apocalyptic number.

1290580400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290580400 is an abundant number, since it is smaller than the sum of its proper divisors (1813741744).

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

1290580400 is a wasteful number, since it uses less digits than its factorization.

1290580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1290580400 is about 35924.6489196485. The cubic root of 1290580400 is about 1088.7504689304.

The spelling of 1290580400 in words is "one billion, two hundred ninety million, five hundred eighty thousand, four hundred".