52898400 has 288 divisors, whose sum is σ = 199987200. Its totient is φ = 13478400.

The previous prime is 52898381. The next prime is 52898423. The reversal of 52898400 is 489825.

52898400 is a `hidden beast` number, since 528 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 669561 + ... + 669639.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 2^52898400 is an apocalyptic number.

52898400 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 52898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

52898400 is an abundant number, since it is smaller than the sum of its proper divisors (147088800).

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

52898400 is a wasteful number, since it uses less digits than its factorization.

52898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 52898400 is about 7273.1286252891. The cubic root of 52898400 is about 375.3883975873.

It can be divided in two parts, 5289 and 8400, that added together give a square (13689 = 117²).

The spelling of 52898400 in words is "fifty-two million, eight hundred ninety-eight thousand, four hundred".