52446464 has 108 divisors (see below), whose sum is σ = 126178164. Its totient is φ = 21676032.

The previous prime is 52446439. The next prime is 52446487. The reversal of 52446464 is 46464425.

It can be written as a sum of positive squares in 2 ways, for example, as 21086464 + 31360000 = 4592^2 + 5600^2 .

It is a super-2 number, since 2×52446464² = 5501263172206592, which contains 22 as substring.

Its product of digits (92160) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464072 + ... + 464184.

Almost surely, 2^52446464 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 52446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63089082).

52446464 is an abundant number, since it is smaller than the sum of its proper divisors (73731700).

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

52446464 is a wasteful number, since it uses less digits than its factorization.

52446464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

The square root of 52446464 is about 7241.9930958266. The cubic root of 52446464 is about 374.3162985266.

The spelling of 52446464 in words is "fifty-two million, four hundred forty-six thousand, four hundred sixty-four".