53537400 has 216 divisors, whose sum is σ = 209495520. Its totient is φ = 12216960.

The previous prime is 53537387. The next prime is 53537401. The reversal of 53537400 is 473535.

It is a happy number.

53537400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53537401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87897 + ... + 88503.

Almost surely, 2^53537400 is an apocalyptic number.

53537400 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 53537400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104747760).

53537400 is an abundant number, since it is smaller than the sum of its proper divisors (155958120).

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

53537400 is a wasteful number, since it uses less digits than its factorization.

53537400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 53537400 is about 7316.9255838774. The cubic root of 53537400 is about 376.8938857561.

The spelling of 53537400 in words is "fifty-three million, five hundred thirty-seven thousand, four hundred".