53201400 has 192 divisors, whose sum is σ = 192844800. Its totient is φ = 11880960.

The previous prime is 53201389. The next prime is 53201413. The reversal of 53201400 is 410235.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53201400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222481 + ... + 222719.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^53201400 is an apocalyptic number.

53201400 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 53201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

53201400 is an abundant number, since it is smaller than the sum of its proper divisors (139643400).

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

53201400 is a wasteful number, since it uses less digits than its factorization.

53201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 53201400 is about 7293.9289823798. The cubic root of 53201400 is about 376.1037702116.

Adding to 53201400 its reverse (410235), we get a palindrome (53611635).

The spelling of 53201400 in words is "fifty-three million, two hundred one thousand, four hundred".