53502400 has 168 divisors, whose sum is σ = 159873696. Its totient is φ = 17203200.

The previous prime is 53502367. The next prime is 53502401. The reversal of 53502400 is 420535.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53502401) 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, 190260 + ... + 190540.

Almost surely, 2^53502400 is an apocalyptic number.

53502400 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 53502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79936848).

53502400 is an abundant number, since it is smaller than the sum of its proper divisors (106371296).

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

53502400 is a wasteful number, since it uses less digits than its factorization.

53502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 53502400 is about 7314.5334779465. The cubic root of 53502400 is about 376.8117365691.

Adding to 53502400 its reverse (420535), we get a palindrome (53922935).

It can be divided in two parts, 5350 and 2400, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 53502400 in words is "fifty-three million, five hundred two thousand, four hundred".