53385444 has 72 divisors (see below), whose sum is σ = 158016768. Its totient is φ = 14878080.

The previous prime is 53385443. The next prime is 53385463. The reversal of 53385444 is 44458335.

53385444 is a `hidden beast` number, since 533 + 85 + 4 + 44 = 666.

53385444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 53385399 and 53385408.

It is not an unprimeable number, because it can be changed into a prime (53385443) 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 23 ways as a sum of consecutive naturals, for example, 7749 + ... + 12915.

Almost surely, 2^53385444 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 53385444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79008384).

53385444 is an abundant number, since it is smaller than the sum of its proper divisors (104631324).

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

53385444 is a wasteful number, since it uses less digits than its factorization.

53385444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5220 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 53385444 is about 7306.5343357846. The cubic root of 53385444 is about 376.5369666829.

The spelling of 53385444 in words is "fifty-three million, three hundred eighty-five thousand, four hundred forty-four".