53544400 has 120 divisors (see below), whose sum is σ = 158434304. Its totient is φ = 16934400.

The previous prime is 53544371. The next prime is 53544419. The reversal of 53544400 is 444535.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 35665 + ... + 37135.

Almost surely, 2^53544400 is an apocalyptic number.

53544400 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 53544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79217152).

53544400 is an abundant number, since it is smaller than the sum of its proper divisors (104889904).

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

53544400 is a wasteful number, since it uses less digits than its factorization.

53544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 53544400 is about 7317.4039112243. The cubic root of 53544400 is about 376.9103112967.

Adding to 53544400 its reverse (444535), we get a palindrome (53988935).

The spelling of 53544400 in words is "fifty-three million, five hundred forty-four thousand, four hundred".