52910400 has 168 divisors, whose sum is σ = 177133504. Its totient is φ = 13824000.

The previous prime is 52910393. The next prime is 52910401. The reversal of 52910400 is 401925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52910401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 350325 + ... + 350475.

Almost surely, 2^52910400 is an apocalyptic number.

52910400 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 52910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88566752).

52910400 is an abundant number, since it is smaller than the sum of its proper divisors (124223104).

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

52910400 is a wasteful number, since it uses less digits than its factorization.

52910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 52910400 is about 7273.9535329833. The cubic root of 52910400 is about 375.4167810556.

The spelling of 52910400 in words is "fifty-two million, nine hundred ten thousand, four hundred".