53314400 has 36 divisors (see below), whose sum is σ = 130155732. Its totient is φ = 21325440.

The previous prime is 53314291. The next prime is 53314409. The reversal of 53314400 is 441335.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53314409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 32522 + ... + 34121.

It is an arithmetic number, because the mean of its divisors is an integer number (3615437).

Almost surely, 2^53314400 is an apocalyptic number.

53314400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53314400 is an abundant number, since it is smaller than the sum of its proper divisors (76841332).

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

53314400 is a wasteful number, since it uses less digits than its factorization.

53314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66663 (or 66650 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 53314400 is about 7301.6710416178. The cubic root of 53314400 is about 376.3698639085.

Adding to 53314400 its reverse (441335), we get a palindrome (53755735).

The spelling of 53314400 in words is "fifty-three million, three hundred fourteen thousand, four hundred".