53477600 has 144 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 18931200.

The previous prime is 53477569. The next prime is 53477603. The reversal of 53477600 is 677435.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 (53477603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519149 + ... + 519251.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^53477600 is an apocalyptic number.

53477600 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 53477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

53477600 is an abundant number, since it is smaller than the sum of its proper divisors (92763040).

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

53477600 is a wasteful number, since it uses less digits than its factorization.

53477600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 53477600 is about 7312.8380263753. The cubic root of 53477600 is about 376.7535063133.

The spelling of 53477600 in words is "fifty-three million, four hundred seventy-seven thousand, six hundred".