53408040 has 192 divisors, whose sum is σ = 193052160. Its totient is φ = 11773440.

The previous prime is 53408023. The next prime is 53408077. The reversal of 53408040 is 4080435.

53408040 = T₉₉ + T₁₀₀ + ... + T₆₈₄.

It is a happy number.

53408040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53408040.

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 47 ways as a sum of consecutive naturals, for example, 182134 + ... + 182426.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^53408040 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 53408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

53408040 is an abundant number, since it is smaller than the sum of its proper divisors (139644120).

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

53408040 is a wasteful number, since it uses less digits than its factorization.

53408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 53408040 is about 7308.0804593272. The cubic root of 53408040 is about 376.5900837160.

Adding to 53408040 its reverse (4080435), we get a palindrome (57488475).

The spelling of 53408040 in words is "fifty-three million, four hundred eight thousand, forty".