53971200 has 162 divisors, whose sum is σ = 193165154. Its totient is φ = 14376960.

The previous prime is 53971199. The next prime is 53971201. The reversal of 53971200 is 217935.

53971200 is a `hidden beast` number, since 539 + 7 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53971199) and next prime (53971201).

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 53934336 = 192^2 + 7344^2 .

It is not an unprimeable number, because it can be changed into a prime (53971201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57132 + ... + 58068.

Almost surely, 2^53971200 is an apocalyptic number.

53971200 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 53971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96582577).

53971200 is an abundant number, since it is smaller than the sum of its proper divisors (139193954).

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

53971200 is a wasteful number, since it uses less digits than its factorization.

53971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 53971200 is about 7346.5093752067. The cubic root of 53971200 is about 377.9091072297.

The spelling of 53971200 in words is "fifty-three million, nine hundred seventy-one thousand, two hundred".