52401600 has 168 divisors, whose sum is σ = 191180720. Its totient is φ = 13962240.

The previous prime is 52401589. The next prime is 52401611. The reversal of 52401600 is 610425.

It is a happy number.

52401600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52401589) and next prime (52401611).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42594 + ... + 43806.

Almost surely, 2^52401600 is an apocalyptic number.

52401600 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 52401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95590360).

52401600 is an abundant number, since it is smaller than the sum of its proper divisors (138779120).

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

52401600 is a wasteful number, since it uses less digits than its factorization.

52401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52401600 is about 7238.8949432907. The cubic root of 52401600 is about 374.2095349441.

The spelling of 52401600 in words is "fifty-two million, four hundred one thousand, six hundred".