53442400 has 72 divisors (see below), whose sum is σ = 142350264. Its totient is φ = 19430400.

The previous prime is 53442397. The next prime is 53442413. The reversal of 53442400 is 424435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5764 + ... + 11836.

It is an arithmetic number, because the mean of its divisors is an integer number (1977087).

Almost surely, 2^53442400 is an apocalyptic number.

53442400 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 53442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71175132).

53442400 is an abundant number, since it is smaller than the sum of its proper divisors (88907864).

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

53442400 is a wasteful number, since it uses less digits than its factorization.

53442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 53442400 is about 7310.4309038524. The cubic root of 53442400 is about 376.6708259998.

Adding to 53442400 its reverse (424435), we get a palindrome (53866835).

It can be divided in two parts, 5344 and 2400, that added together give a square (7744 = 88²).

The spelling of 53442400 in words is "fifty-three million, four hundred forty-two thousand, four hundred".