52284960 has 576 divisors, whose sum is σ = 241315200. Its totient is φ = 10450944.

The previous prime is 52284949. The next prime is 52284983. The reversal of 52284960 is 6948225.

It is a happy number.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751831 + ... + 2751849.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 2^52284960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

52284960 is an abundant number, since it is smaller than the sum of its proper divisors (189030240).

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

52284960 is a wasteful number, since it uses less digits than its factorization.

52284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52284960 is about 7230.8339767969. The cubic root of 52284960 is about 373.9316793997.

The spelling of 52284960 in words is "fifty-two million, two hundred eighty-four thousand, nine hundred sixty".