53456400 has 180 divisors, whose sum is σ = 191892480. Its totient is φ = 13766400.

The previous prime is 53456387. The next prime is 53456411. The reversal of 53456400 is 465435.

53456400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 111361 + ... + 111839.

Almost surely, 2^53456400 is an apocalyptic number.

53456400 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 53456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95946240).

53456400 is an abundant number, since it is smaller than the sum of its proper divisors (138436080).

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

53456400 is a wasteful number, since it uses less digits than its factorization.

53456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53456400 is about 7311.3883770458. The cubic root of 53456400 is about 376.7037145624.

The spelling of 53456400 in words is "fifty-three million, four hundred fifty-six thousand, four hundred".