53954384 has 90 divisors (see below), whose sum is σ = 122824170. Its totient is φ = 22915200.

The previous prime is 53954377. The next prime is 53954419. The reversal of 53954384 is 48345935.

53954384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46512400 + 7441984 = 6820^2 + 2728^2 .

It is a super-2 number, since 2×53954384² = 5822151105638912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1740449 + ... + 1740479.

It is an arithmetic number, because the mean of its divisors is an integer number (1364713).

Almost surely, 2^53954384 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 53954384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61412085).

53954384 is an abundant number, since it is smaller than the sum of its proper divisors (68869786).

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

53954384 is a wasteful number, since it uses less digits than its factorization.

53954384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The square root of 53954384 is about 7345.3647969315. The cubic root of 53954384 is about 377.8698543215.

It can be divided in two parts, 5395 and 4384, that added together give a palindrome (9779).

The spelling of 53954384 in words is "fifty-three million, nine hundred fifty-four thousand, three hundred eighty-four".