53456800 has 36 divisors (see below), whose sum is σ = 130503366. Its totient is φ = 21382400.

The previous prime is 53456791. The next prime is 53456833. The reversal of 53456800 is 865435.

It can be written as a sum of positive squares in 3 ways, for example, as 29289744 + 24167056 = 5412^2 + 4916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32611 + ... + 34210.

Almost surely, 2^53456800 is an apocalyptic number.

53456800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53456800 is an abundant number, since it is smaller than the sum of its proper divisors (77046566).

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

53456800 is a wasteful number, since it uses less digits than its factorization.

53456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66841 (or 66828 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 53456800 is about 7311.4157315803. The cubic root of 53456800 is about 376.7046541512.

The spelling of 53456800 in words is "fifty-three million, four hundred fifty-six thousand, eight hundred".