53534400 has 168 divisors, whose sum is σ = 185196480. Its totient is φ = 13501440.

The previous prime is 53534389. The next prime is 53534413. The reversal of 53534400 is 443535.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90907 + ... + 91493.

It is an arithmetic number, because the mean of its divisors is an integer number (1102360).

Almost surely, 2^53534400 is an apocalyptic number.

53534400 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 53534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92598240).

53534400 is an abundant number, since it is smaller than the sum of its proper divisors (131662080).

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

53534400 is a wasteful number, since it uses less digits than its factorization.

53534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 53534400 is about 7316.7205768705. The cubic root of 53534400 is about 376.8868458003.

Adding to 53534400 its reverse (443535), we get a palindrome (53977935).

The spelling of 53534400 in words is "fifty-three million, five hundred thirty-four thousand, four hundred".