53354400 has 288 divisors, whose sum is σ = 197987328. Its totient is φ = 12364800.

The previous prime is 53354393. The next prime is 53354401. The reversal of 53354400 is 445335.

It is a happy number.

53354400 is nontrivially palindromic in base 7.

53354400 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 not an unprimeable number, because it can be changed into a prime (53354401) 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 47 ways as a sum of consecutive naturals, for example, 1135177 + ... + 1135223.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^53354400 is an apocalyptic number.

53354400 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 53354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

53354400 is an abundant number, since it is smaller than the sum of its proper divisors (144632928).

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

53354400 is a wasteful number, since it uses less digits than its factorization.

53354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 53354400 is about 7304.4096270677. The cubic root of 53354400 is about 376.4639662591.

Adding to 53354400 its reverse (445335), we get a palindrome (53799735).

It can be divided in two parts, 53 and 354400, that added together give a palindrome (354453).

The spelling of 53354400 in words is "fifty-three million, three hundred fifty-four thousand, four hundred".