53406000 has 320 divisors, whose sum is σ = 204272640. Its totient is φ = 13305600.

The previous prime is 53405983. The next prime is 53406007. The reversal of 53406000 is 60435.

It is a happy number.

53406000 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53406007) 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 63 ways as a sum of consecutive naturals, for example, 1241979 + ... + 1242021.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^53406000 is an apocalyptic number.

53406000 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 53406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

53406000 is an abundant number, since it is smaller than the sum of its proper divisors (150866640).

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

53406000 is a wasteful number, since it uses less digits than its factorization.

53406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53406000 is about 7307.9408864604. The cubic root of 53406000 is about 376.5852888477.

Adding to 53406000 its reverse (60435), we get a palindrome (53466435).

The spelling of 53406000 in words is "fifty-three million, four hundred six thousand".