53824400 has 120 divisors (see below), whose sum is σ = 151299840. Its totient is φ = 18017280.

The previous prime is 53824399. The next prime is 53824409. The reversal of 53824400 is 442835.

It is a self number, because there is not a number n which added to its sum of digits gives 53824400.

It is not an unprimeable number, because it can be changed into a prime (53824409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131396 + ... + 131804.

It is an arithmetic number, because the mean of its divisors is an integer number (1260832).

Almost surely, 2^53824400 is an apocalyptic number.

53824400 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 53824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75649920).

53824400 is an abundant number, since it is smaller than the sum of its proper divisors (97475440).

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

53824400 is a wasteful number, since it uses less digits than its factorization.

53824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 53824400 is about 7336.5114325543. The cubic root of 53824400 is about 377.5661624016.

It can be divided in two parts, 53824 and 400, that multiplied together give a square (21529600 = 4640²).

The spelling of 53824400 in words is "fifty-three million, eight hundred twenty-four thousand, four hundred".