1290988800 has 432 divisors, whose sum is σ = 4906908160. Its totient is φ = 331776000.

The previous prime is 1290988759. The next prime is 1290988807. The reversal of 1290988800 is 88890921.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290988807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5356680 + ... + 5356920.

Almost surely, 2^1290988800 is an apocalyptic number.

1290988800 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 1290988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453454080).

1290988800 is an abundant number, since it is smaller than the sum of its proper divisors (3615919360).

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

1290988800 is a wasteful number, since it uses less digits than its factorization.

1290988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1290988800 is about 35930.3325896101. The cubic root of 1290988800 is about 1088.8653006753.

The spelling of 1290988800 in words is "one billion, two hundred ninety million, nine hundred eighty-eight thousand, eight hundred".