53352000 has 448 divisors, whose sum is σ = 221894400. Its totient is φ = 12441600.

The previous prime is 53351999. The next prime is 53352017. The reversal of 53352000 is 25335.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807991 + ... + 2808009.

It is an arithmetic number, because the mean of its divisors is an integer number (495300).

Almost surely, 2^53352000 is an apocalyptic number.

53352000 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 53352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110947200).

53352000 is an abundant number, since it is smaller than the sum of its proper divisors (168542400).

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

53352000 is a wasteful number, since it uses less digits than its factorization.

53352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 53352000 is about 7304.2453408959. The cubic root of 53352000 is about 376.4583214447.

Adding to 53352000 its reverse (25335), we get a palindrome (53377335).

The spelling of 53352000 in words is "fifty-three million, three hundred fifty-two thousand".