53413200 has 180 divisors, whose sum is σ = 190843068. Its totient is φ = 13824000.

The previous prime is 53413193. The next prime is 53413219. The reversal of 53413200 is 231435.

53413200 is a `hidden beast` number, since 5 + 341 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9217296 + 44195904 = 3036^2 + 6648^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133000 + ... + 133400.

Almost surely, 2^53413200 is an apocalyptic number.

53413200 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 53413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95421534).

53413200 is an abundant number, since it is smaller than the sum of its proper divisors (137429868).

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

53413200 is a wasteful number, since it uses less digits than its factorization.

53413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53413200 is about 7308.4334846806. The cubic root of 53413200 is about 376.6022113673.

Adding to 53413200 its reverse (231435), we get a palindrome (53644635).

The spelling of 53413200 in words is "fifty-three million, four hundred thirteen thousand, two hundred".