1431363960 has 320 divisors, whose sum is σ = 5488560000. Its totient is φ = 331444224.

The previous prime is 1431363959. The next prime is 1431364003. The reversal of 1431363960 is 693631341.

1431363960 is a `hidden beast` number, since 1 + 4 + 3 + 13 + 639 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 715041 + ... + 717039.

It is an arithmetic number, because the mean of its divisors is an integer number (17151750).

Almost surely, 2^1431363960 is an apocalyptic number.

1431363960 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 1431363960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280000).

1431363960 is an abundant number, since it is smaller than the sum of its proper divisors (4057196040).

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

1431363960 is a wasteful number, since it uses less digits than its factorization.

1431363960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1431363960 is about 37833.3709838285. The cubic root of 1431363960 is about 1126.9812553980.

The spelling of 1431363960 in words is "one billion, four hundred thirty-one million, three hundred sixty-three thousand, nine hundred sixty".