1290409380 has 240 divisors, whose sum is σ = 4425974784. Its totient is φ = 312802560.

The previous prime is 1290409369. The next prime is 1290409381. The reversal of 1290409380 is 839040921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1290409381) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1494829 + ... + 1495691.

Almost surely, 2^1290409380 is an apocalyptic number.

1290409380 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 1290409380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212987392).

1290409380 is an abundant number, since it is smaller than the sum of its proper divisors (3135565404).

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

1290409380 is a wasteful number, since it uses less digits than its factorization.

1290409380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1290409380 is about 35922.2685809234. The cubic root of 1290409380 is about 1088.7023752380.

The spelling of 1290409380 in words is "one billion, two hundred ninety million, four hundred nine thousand, three hundred eighty".