52754400 has 216 divisors, whose sum is σ = 197424864. Its totient is φ = 13209600.

The previous prime is 52754371. The next prime is 52754407. The reversal of 52754400 is 445725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52754407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122185 + ... + 122615.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^52754400 is an apocalyptic number.

52754400 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 52754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98712432).

52754400 is an abundant number, since it is smaller than the sum of its proper divisors (144670464).

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

52754400 is a wasteful number, since it uses less digits than its factorization.

52754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 52754400 is about 7263.2224253426. Note that the first 3 decimals coincide. The cubic root of 52754400 is about 375.0474606597.

The spelling of 52754400 in words is "fifty-two million, seven hundred fifty-four thousand, four hundred".