52448900 has 72 divisors (see below), whose sum is σ = 134324736. Its totient is φ = 17395200.

The previous prime is 52448899. The next prime is 52448917. The reversal of 52448900 is 984425.

It is a super-2 number, since 2×52448900² = 5501774222420000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20492 + ... + 22908.

Almost surely, 2^52448900 is an apocalyptic number.

52448900 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 52448900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67162368).

52448900 is an abundant number, since it is smaller than the sum of its proper divisors (81875836).

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

52448900 is a wasteful number, since it uses less digits than its factorization.

52448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 52448900 is about 7242.1612796181. The cubic root of 52448900 is about 374.3220937720.

The spelling of 52448900 in words is "fifty-two million, four hundred forty-eight thousand, nine hundred".