1290004320 has 384 divisors, whose sum is σ = 4663733760. Its totient is φ = 296960000.

The previous prime is 1290004307. The next prime is 1290004327. The reversal of 1290004320 is 234000921.

It is a super-2 number, since 2×1290004320² = 3328222291237324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290004327) 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, 12772270 + ... + 12772370.

It is an arithmetic number, because the mean of its divisors is an integer number (12145140).

Almost surely, 2^1290004320 is an apocalyptic number.

1290004320 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 1290004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331866880).

1290004320 is an abundant number, since it is smaller than the sum of its proper divisors (3373729440).

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

1290004320 is a wasteful number, since it uses less digits than its factorization.

1290004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1290004320 is about 35916.6301314586. The cubic root of 1290004320 is about 1088.5884486187.

The spelling of 1290004320 in words is "one billion, two hundred ninety million, four thousand, three hundred twenty".