53280400 has 30 divisors (see below), whose sum is σ = 128007122. Its totient is φ = 21312000.

The previous prime is 53280391. The next prime is 53280401. The reversal of 53280400 is 408235.

It can be written as a sum of positive squares in 3 ways, for example, as 6822544 + 46457856 = 2612^2 + 6816^2 .

It is not an unprimeable number, because it can be changed into a prime (53280401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66201 + ... + 67000.

Almost surely, 2^53280400 is an apocalyptic number.

53280400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53280400 is an abundant number, since it is smaller than the sum of its proper divisors (74726722).

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

53280400 is a wasteful number, since it uses less digits than its factorization.

53280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133219 (or 133208 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 53280400 is about 7299.3424361377. The cubic root of 53280400 is about 376.2898398964.

Adding to 53280400 its reverse (408235), we get a palindrome (53688635).

The spelling of 53280400 in words is "fifty-three million, two hundred eighty thousand, four hundred".