53873400 has 192 divisors, whose sum is σ = 194273280. Its totient is φ = 12096000.

The previous prime is 53873399. The next prime is 53873447. The reversal of 53873400 is 437835.

53873400 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 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 47 ways as a sum of consecutive naturals, for example, 424137 + ... + 424263.

It is an arithmetic number, because the mean of its divisors is an integer number (1011840).

Almost surely, 2^53873400 is an apocalyptic number.

53873400 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 53873400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136640).

53873400 is an abundant number, since it is smaller than the sum of its proper divisors (140399880).

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

53873400 is a wasteful number, since it uses less digits than its factorization.

53873400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 53873400 is about 7339.8501347098. The cubic root of 53873400 is about 377.6807023416.

The spelling of 53873400 in words is "fifty-three million, eight hundred seventy-three thousand, four hundred".