53414400 has 240 divisors, whose sum is σ = 191800224. Its totient is φ = 13025280.

The previous prime is 53414399. The next prime is 53414423. The reversal of 53414400 is 441435.

It is a tau number, because it is divible by the number of its divisors (240).

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, 499147 + ... + 499253.

Almost surely, 2^53414400 is an apocalyptic number.

53414400 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 53414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95900112).

53414400 is an abundant number, since it is smaller than the sum of its proper divisors (138385824).

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

53414400 is a wasteful number, since it uses less digits than its factorization.

53414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 53414400 is about 7308.5155811560. The cubic root of 53414400 is about 376.6050316394.

Adding to 53414400 its reverse (441435), we get a palindrome (53855835).

The spelling of 53414400 in words is "fifty-three million, four hundred fourteen thousand, four hundred".