53198400 has 84 divisors (see below), whose sum is σ = 174550832. Its totient is φ = 14184960.

The previous prime is 53198381. The next prime is 53198401. The reversal of 53198400 is 489135.

53198400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (53198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742 + ... + 10341.

Almost surely, 2^53198400 is an apocalyptic number.

53198400 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 53198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87275416).

53198400 is an abundant number, since it is smaller than the sum of its proper divisors (121352432).

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

53198400 is a wasteful number, since it uses less digits than its factorization.

53198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11108 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 53198400 is about 7293.7233290001. The cubic root of 53198400 is about 376.0967006450.

The spelling of 53198400 in words is "fifty-three million, one hundred ninety-eight thousand, four hundred".