53985384 has 144 divisors (see below), whose sum is σ = 161665920. Its totient is φ = 16251840.

The previous prime is 53985383. The next prime is 53985389. The reversal of 53985384 is 48358935.

It is a happy number.

53985384 is a `hidden beast` number, since 539 + 85 + 38 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53985383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 805719 + ... + 805785.

It is an arithmetic number, because the mean of its divisors is an integer number (1122680).

Almost surely, 2^53985384 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 53985384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80832960).

53985384 is an abundant number, since it is smaller than the sum of its proper divisors (107680536).

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

53985384 is a wasteful number, since it uses less digits than its factorization.

53985384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 53985384 is about 7347.4746682108. The cubic root of 53985384 is about 377.9422100282.

The spelling of 53985384 in words is "fifty-three million, nine hundred eighty-five thousand, three hundred eighty-four".