52764480 has 224 divisors, whose sum is σ = 193121280. Its totient is φ = 13547520.

The previous prime is 52764469. The next prime is 52764497. The reversal of 52764480 is 8446725.

52764480 is a `hidden beast` number, since 5 + 2 + 7 + 644 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267742 + ... + 267938.

Almost surely, 2^52764480 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 52764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96560640).

52764480 is an abundant number, since it is smaller than the sum of its proper divisors (140356800).

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

52764480 is a wasteful number, since it uses less digits than its factorization.

52764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 52764480 is about 7263.9162990772. The cubic root of 52764480 is about 375.0713464250.

The spelling of 52764480 in words is "fifty-two million, seven hundred sixty-four thousand, four hundred eighty".