53402400 has 108 divisors (see below), whose sum is σ = 188335602. Its totient is φ = 14238720.

The previous prime is 53402381. The next prime is 53402411. The reversal of 53402400 is 420435.

It is a happy number.

53402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 46621584 + 6780816 = 6828^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 3492 + ... + 10908.

Almost surely, 2^53402400 is an apocalyptic number.

53402400 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 53402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94167801).

53402400 is an abundant number, since it is smaller than the sum of its proper divisors (134933202).

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

53402400 is a wasteful number, since it uses less digits than its factorization.

53402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 53402400 is about 7307.6945748984. The cubic root of 53402400 is about 376.5768270176.

Adding to 53402400 its reverse (420435), we get a palindrome (53822835).

The spelling of 53402400 in words is "fifty-three million, four hundred two thousand, four hundred".