1431480000 has 280 divisors, whose sum is σ = 4824455680. Its totient is φ = 374400000.

The previous prime is 1431479981. The next prime is 1431480047. The reversal of 1431480000 is 841341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9479925 + ... + 9480075.

Almost surely, 2^1431480000 is an apocalyptic number.

1431480000 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 1431480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412227840).

1431480000 is an abundant number, since it is smaller than the sum of its proper divisors (3392975680).

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

1431480000 is an equidigital number, since it uses as much as digits as its factorization.

1431480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1431480000 is about 37834.9045195042. The cubic root of 1431480000 is about 1127.0117091877.

The spelling of 1431480000 in words is "one billion, four hundred thirty-one million, four hundred eighty thousand".