52464672 has 168 divisors, whose sum is σ = 167740524. Its totient is φ = 16049664.

The previous prime is 52464661. The next prime is 52464677. The reversal of 52464672 is 27646425.

52464672 is a `hidden beast` number, since 5 + 2 + 4 + 646 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 104976 = 7236^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52464677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 303178 + ... + 303350.

Almost surely, 2^52464672 is an apocalyptic number.

52464672 is a gapful number since it is divisible by the number (52) 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 52464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83870262).

52464672 is an abundant number, since it is smaller than the sum of its proper divisors (115275852).

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

52464672 is a wasteful number, since it uses less digits than its factorization.

52464672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 52464672 is about 7243.2500992303. The cubic root of 52464672 is about 374.3596110277.

The spelling of 52464672 in words is "fifty-two million, four hundred sixty-four thousand, six hundred seventy-two".