53574400 has 108 divisors (see below), whose sum is σ = 144850104. Its totient is φ = 19456000.

The previous prime is 53574379. The next prime is 53574401. The reversal of 53574400 is 447535.

It is not an unprimeable number, because it can be changed into a prime (53574401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70020 + ... + 70780.

Almost surely, 2^53574400 is an apocalyptic number.

53574400 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 53574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72425052).

53574400 is an abundant number, since it is smaller than the sum of its proper divisors (91275704).

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

53574400 is a wasteful number, since it uses less digits than its factorization.

53574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 53574400 is about 7319.4535315145. The cubic root of 53574400 is about 376.9806902610.

The spelling of 53574400 in words is "fifty-three million, five hundred seventy-four thousand, four hundred".