53405000 has 80 divisors (see below), whose sum is σ = 136643760. Its totient is φ = 19400000.

The previous prime is 53404997. The next prime is 53405003. The reversal of 53405000 is 50435.

53405000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53404997) and next prime (53405003).

It is a self number, because there is not a number n which added to its sum of digits gives 53405000.

It is not an unprimeable number, because it can be changed into a prime (53405003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 54515 + ... + 55485.

It is an arithmetic number, because the mean of its divisors is an integer number (1708047).

Almost surely, 2^53405000 is an apocalyptic number.

53405000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68321880).

53405000 is an abundant number, since it is smaller than the sum of its proper divisors (83238760).

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

53405000 is a wasteful number, since it uses less digits than its factorization.

53405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 53405000 is about 7307.8724674148. The cubic root of 53405000 is about 376.5829383775.

Adding to 53405000 its reverse (50435), we get a palindrome (53455435).

The spelling of 53405000 in words is "fifty-three million, four hundred five thousand".