53453600 has 72 divisors (see below), whose sum is σ = 131905620. Its totient is φ = 21150720.

The previous prime is 53453599. The next prime is 53453623. The reversal of 53453600 is 635435.

It can be written as a sum of positive squares in 6 ways, for example, as 7376656 + 46076944 = 2716^2 + 6788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53453600.

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, 86894 + ... + 87506.

Almost surely, 2^53453600 is an apocalyptic number.

53453600 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 53453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65952810).

53453600 is an abundant number, since it is smaller than the sum of its proper divisors (78452020).

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

53453600 is a wasteful number, since it uses less digits than its factorization.

53453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 53453600 is about 7311.1968924383. The cubic root of 53453600 is about 376.6971373093.

The spelling of 53453600 in words is "fifty-three million, four hundred fifty-three thousand, six hundred".