53764200 has 288 divisors, whose sum is σ = 219360960. Its totient is φ = 11520000.

The previous prime is 53764189. The next prime is 53764201. The reversal of 53764200 is 246735.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53764201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214075 + ... + 214325.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^53764200 is an apocalyptic number.

53764200 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 53764200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

53764200 is an abundant number, since it is smaller than the sum of its proper divisors (165596760).

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

53764200 is a wasteful number, since it uses less digits than its factorization.

53764200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

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

The square root of 53764200 is about 7332.4075173165. The cubic root of 53764200 is about 377.4253466985.

The spelling of 53764200 in words is "fifty-three million, seven hundred sixty-four thousand, two hundred".