53054400 has 168 divisors, whose sum is σ = 199054720. Its totient is φ = 12119040.

The previous prime is 53054383. The next prime is 53054437. The reversal of 53054400 is 445035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32811 + ... + 34389.

Almost surely, 2^53054400 is an apocalyptic number.

53054400 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 53054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99527360).

53054400 is an abundant number, since it is smaller than the sum of its proper divisors (146000320).

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

53054400 is a wasteful number, since it uses less digits than its factorization.

53054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 53054400 is about 7283.8451383867. The cubic root of 53054400 is about 375.7570484231.

Adding to 53054400 its reverse (445035), we get a palindrome (53499435).

The spelling of 53054400 in words is "fifty-three million, fifty-four thousand, four hundred".