1290048000 has 160 divisors (see below), whose sum is σ = 4289725440. Its totient is φ = 343961600.

The previous prime is 1290047933. The next prime is 1290048017. The reversal of 1290048000 is 8400921.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188641 + ... + 195359.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^1290048000 is an apocalyptic number.

1290048000 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 1290048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1290048000 is an abundant number, since it is smaller than the sum of its proper divisors (2999677440).

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

1290048000 is an frugal number, since it uses more digits than its factorization.

1290048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1290048000 is about 35917.2382011758. The cubic root of 1290048000 is about 1088.6007351426.

Adding to 1290048000 its reverse (8400921), we get a palindrome (1298448921).

The spelling of 1290048000 in words is "one billion, two hundred ninety million, forty-eight thousand".