53473200 has 120 divisors (see below), whose sum is σ = 186910656. Its totient is φ = 12960000.

The previous prime is 53473193. The next prime is 53473241. The reversal of 53473200 is 237435.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11175 + ... + 15225.

Almost surely, 2^53473200 is an apocalyptic number.

53473200 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 53473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93455328).

53473200 is an abundant number, since it is smaller than the sum of its proper divisors (133437456).

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

53473200 is a wasteful number, since it uses less digits than its factorization.

53473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 53473200 is about 7312.5371793927. The cubic root of 53473200 is about 376.7431732586.

The spelling of 53473200 in words is "fifty-three million, four hundred seventy-three thousand, two hundred".