53958432 has 96 divisors (see below), whose sum is σ = 158808384. Its totient is φ = 15897600.

The previous prime is 53958431. The next prime is 53958449. The reversal of 53958432 is 23485935.

53958432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (53958431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38382 + ... + 39762.

It is an arithmetic number, because the mean of its divisors is an integer number (1654254).

Almost surely, 2^53958432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53958432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79404192).

53958432 is an abundant number, since it is smaller than the sum of its proper divisors (104849952).

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

53958432 is a wasteful number, since it uses less digits than its factorization.

53958432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1434 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 53958432 is about 7345.6403396845. The cubic root of 53958432 is about 377.8793041493.

The spelling of 53958432 in words is "fifty-three million, nine hundred fifty-eight thousand, four hundred thirty-two".