53746200 has 192 divisors, whose sum is σ = 190836000. Its totient is φ = 13893120.

The previous prime is 53746171. The next prime is 53746201. The reversal of 53746200 is 264735.

It is a happy number.

53746200 is a `hidden beast` number, since 5 + 37 + 4 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53746201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199666 + ... + 199934.

Almost surely, 2^53746200 is an apocalyptic number.

53746200 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 53746200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95418000).

53746200 is an abundant number, since it is smaller than the sum of its proper divisors (137089800).

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

53746200 is a wasteful number, since it uses less digits than its factorization.

53746200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53746200 is about 7331.1799868780. The cubic root of 53746200 is about 377.3832219231.

The spelling of 53746200 in words is "fifty-three million, seven hundred forty-six thousand, two hundred".