1290526400 has 42 divisors (see below), whose sum is σ = 3175505460. Its totient is φ = 516209920.

The previous prime is 1290526357. The next prime is 1290526403. The reversal of 1290526400 is 46250921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1290526403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 401690 + ... + 404889.

Almost surely, 2^1290526400 is an apocalyptic number.

1290526400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290526400 is an abundant number, since it is smaller than the sum of its proper divisors (1884979060).

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

1290526400 is an equidigital number, since it uses as much as digits as its factorization.

1290526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806601 (or 806586 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1290526400 is about 35923.8973386797. The cubic root of 1290526400 is about 1088.7352836837.

The spelling of 1290526400 in words is "one billion, two hundred ninety million, five hundred twenty-six thousand, four hundred".