53805440 has 128 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 19095552.

The previous prime is 53805403. The next prime is 53805467. The reversal of 53805440 is 4450835.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) 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 (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241169 + ... + 241391.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^53805440 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 53805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

53805440 is an abundant number, since it is smaller than the sum of its proper divisors (90136960).

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

53805440 is a wasteful number, since it uses less digits than its factorization.

53805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 53805440 is about 7335.2191514637. The cubic root of 53805440 is about 377.5218238045.

It can be divided in two parts, 53805 and 440, that added together give a palindrome (54245).

The spelling of 53805440 in words is "fifty-three million, eight hundred five thousand, four hundred forty".