1260432000 has 192 divisors, whose sum is σ = 4527043560. Its totient is φ = 336076800.

The previous prime is 1260431983. The next prime is 1260432011. The reversal of 1260432000 is 2340621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 626601024 + 633830976 = 25032^2 + 25176^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139624 + ... + 148376.

Almost surely, 2^1260432000 is an apocalyptic number.

1260432000 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 1260432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263521780).

1260432000 is an abundant number, since it is smaller than the sum of its proper divisors (3266611560).

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

1260432000 is an equidigital number, since it uses as much as digits as its factorization.

1260432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1260432000 is about 35502.5632877402. The cubic root of 1260432000 is about 1080.2057221277.

Adding to 1260432000 its reverse (2340621), we get a palindrome (1262772621).

The spelling of 1260432000 in words is "one billion, two hundred sixty million, four hundred thirty-two thousand".