52656480 has 240 divisors, whose sum is σ = 197588160. Its totient is φ = 13160448.

The previous prime is 52656469. The next prime is 52656491. The reversal of 52656480 is 8465625.

52656480 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52656469) and next prime (52656491).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×52656480³ (a number of 24 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 220201 + ... + 220439.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 2^52656480 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 52656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

52656480 is an abundant number, since it is smaller than the sum of its proper divisors (144931680).

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

52656480 is a wasteful number, since it uses less digits than its factorization.

52656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 52656480 is about 7256.4784847748. The cubic root of 52656480 is about 374.8152690135.

The spelling of 52656480 in words is "fifty-two million, six hundred fifty-six thousand, four hundred eighty".