1432983552 has 384 divisors, whose sum is σ = 5151444480. Its totient is φ = 342097920.

The previous prime is 1432983551. The next prime is 1432983569. The reversal of 1432983552 is 2553892341.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1432983551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6150028 + ... + 6150260.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^1432983552 is an apocalyptic number.

1432983552 is a gapful number since it is divisible by the number (12) 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 1432983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575722240).

1432983552 is an abundant number, since it is smaller than the sum of its proper divisors (3718460928).

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

1432983552 is a wasteful number, since it uses less digits than its factorization.

1432983552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1432983552 is about 37854.7692107613. The cubic root of 1432983552 is about 1127.4061559087.

The spelling of 1432983552 in words is "one billion, four hundred thirty-two million, nine hundred eighty-three thousand, five hundred fifty-two".