1290399552 has 448 divisors, whose sum is σ = 4506163200. Its totient is φ = 358318080.

The previous prime is 1290399547. The next prime is 1290399559. The reversal of 1290399552 is 2559930921.

1290399552 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 3 + 99 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1290399498 and 1290399507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290399559) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11838474 + ... + 11838582.

It is an arithmetic number, because the mean of its divisors is an integer number (10058400).

Almost surely, 2^1290399552 is an apocalyptic number.

1290399552 is a gapful number since it is divisible by the number (12) 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 1290399552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253081600).

1290399552 is an abundant number, since it is smaller than the sum of its proper divisors (3215763648).

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

1290399552 is a wasteful number, since it uses less digits than its factorization.

1290399552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 1290399552 is about 35922.1317852936. The cubic root of 1290399552 is about 1088.6996113105.

The spelling of 1290399552 in words is "one billion, two hundred ninety million, three hundred ninety-nine thousand, five hundred fifty-two".