53350400 has 78 divisors (see below), whose sum is σ = 132546762. Its totient is φ = 21299200.

The previous prime is 53350399. The next prime is 53350439. The reversal of 53350400 is 405335.

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 52301824 = 1024^2 + 7232^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102140 + ... + 102660.

Almost surely, 2^53350400 is an apocalyptic number.

53350400 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 53350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66273381).

53350400 is an abundant number, since it is smaller than the sum of its proper divisors (79196362).

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

53350400 is an equidigital number, since it uses as much as digits as its factorization.

53350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 53350400 is about 7304.1358147285. The cubic root of 53350400 is about 376.4545581410.

Adding to 53350400 its reverse (405335), we get a palindrome (53755735).

The spelling of 53350400 in words is "fifty-three million, three hundred fifty thousand, four hundred".