53810400 has 144 divisors (see below), whose sum is σ = 200237184. Its totient is φ = 12295680.

The previous prime is 53810387. The next prime is 53810411. The reversal of 53810400 is 401835.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 15199 + ... + 18401.

It is an arithmetic number, because the mean of its divisors is an integer number (1390536).

Almost surely, 2^53810400 is an apocalyptic number.

53810400 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 53810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100118592).

53810400 is an abundant number, since it is smaller than the sum of its proper divisors (146426784).

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

53810400 is a wasteful number, since it uses less digits than its factorization.

53810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 53810400 is about 7335.5572385470. The cubic root of 53810400 is about 377.5334239370.

The spelling of 53810400 in words is "fifty-three million, eight hundred ten thousand, four hundred".