1431768960 has 320 divisors, whose sum is σ = 5198450400. Its totient is φ = 375459840.

The previous prime is 1431768937. The next prime is 1431768967. The reversal of 1431768960 is 698671341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431768967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3680446 + ... + 3680834.

Almost surely, 2^1431768960 is an apocalyptic number.

1431768960 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 1431768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599225200).

1431768960 is an abundant number, since it is smaller than the sum of its proper divisors (3766681440).

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

1431768960 is an equidigital number, since it uses as much as digits as its factorization.

1431768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1431768960 is about 37838.7230228505. The cubic root of 1431768960 is about 1127.0875373266.

The spelling of 1431768960 in words is "one billion, four hundred thirty-one million, seven hundred sixty-eight thousand, nine hundred sixty".