53844480 has 320 divisors, whose sum is σ = 206236800. Its totient is φ = 13271040.

The previous prime is 53844473. The next prime is 53844493. The reversal of 53844480 is 8444835.

53844480 is a `hidden beast` number, since 538 + 4 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313260 + ... + 1313300.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^53844480 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 53844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

53844480 is an abundant number, since it is smaller than the sum of its proper divisors (152392320).

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

53844480 is a wasteful number, since it uses less digits than its factorization.

53844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 53844480 is about 7337.8798027768. The cubic root of 53844480 is about 377.6131088047.

The spelling of 53844480 in words is "fifty-three million, eight hundred forty-four thousand, four hundred eighty".