53232400 has 120 divisors (see below), whose sum is σ = 142881480. Its totient is φ = 18923520.

The previous prime is 53232367. The next prime is 53232401. The reversal of 53232400 is 423235.

It can be written as a sum of positive squares in 12 ways, for example, as 25522704 + 27709696 = 5052^2 + 5264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53232401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150624 + ... + 150976.

It is an arithmetic number, because the mean of its divisors is an integer number (1190679).

Almost surely, 2^53232400 is an apocalyptic number.

53232400 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 53232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71440740).

53232400 is an abundant number, since it is smaller than the sum of its proper divisors (89649080).

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

53232400 is a wasteful number, since it uses less digits than its factorization.

53232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 53232400 is about 7296.0537278723. The cubic root of 53232400 is about 376.1768068424.

Adding to 53232400 its reverse (423235), we get a palindrome (53655635).

The spelling of 53232400 in words is "fifty-three million, two hundred thirty-two thousand, four hundred".