1431480960 has 384 divisors, whose sum is σ = 6086021760. Its totient is φ = 301916160.

The previous prime is 1431480959. The next prime is 1431481013. The reversal of 1431480960 is 690841341.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522795 + ... + 525525.

It is an arithmetic number, because the mean of its divisors is an integer number (15849015).

Almost surely, 2^1431480960 is an apocalyptic number.

1431480960 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 1431480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043010880).

1431480960 is an abundant number, since it is smaller than the sum of its proper divisors (4654540800).

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

1431480960 is a wasteful number, since it uses less digits than its factorization.

1431480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1431480960 is about 37834.9172061999. The cubic root of 1431480960 is about 1127.0119611253.

The spelling of 1431480960 in words is "one billion, four hundred thirty-one million, four hundred eighty thousand, nine hundred sixty".