53286400 has 120 divisors (see below), whose sum is σ = 138522384. Its totient is φ = 20275200.

The previous prime is 53286397. The next prime is 53286413. The reversal of 53286400 is 468235.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294310 + ... + 294490.

Almost surely, 2^53286400 is an apocalyptic number.

53286400 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 53286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69261192).

53286400 is an abundant number, since it is smaller than the sum of its proper divisors (85235984).

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

53286400 is a wasteful number, since it uses less digits than its factorization.

53286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 53286400 is about 7299.7534204931. The cubic root of 53286400 is about 376.3039642541.

The spelling of 53286400 in words is "fifty-three million, two hundred eighty-six thousand, four hundred".