53822400 has 84 divisors (see below), whose sum is σ = 176598072. Its totient is φ = 14351360.

The previous prime is 53822393. The next prime is 53822413. The reversal of 53822400 is 422835.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 807 + ... + 10406.

It is an arithmetic number, because the mean of its divisors is an integer number (2102358).

Almost surely, 2^53822400 is an apocalyptic number.

53822400 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 53822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88299036).

53822400 is an abundant number, since it is smaller than the sum of its proper divisors (122775672).

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

53822400 is a wasteful number, since it uses less digits than its factorization.

53822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 53822400 is about 7336.3751267230. The cubic root of 53822400 is about 377.5614858257.

The spelling of 53822400 in words is "fifty-three million, eight hundred twenty-two thousand, four hundred".