64439424 has 192 divisors, whose sum is σ = 217039680. Its totient is φ = 17971200.

The previous prime is 64439407. The next prime is 64439429. The reversal of 64439424 is 42493446.

64439424 is a `hidden beast` number, since 644 + 3 + 9 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-5 number, since 5×64439424⁵ (a number of 40 digits) contains 55555 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64439429) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 491839 + ... + 491969.

It is an arithmetic number, because the mean of its divisors is an integer number (1130415).

Almost surely, 2^64439424 is an apocalyptic number.

64439424 is a gapful number since it is divisible by the number (64) 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 64439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108519840).

64439424 is an abundant number, since it is smaller than the sum of its proper divisors (152600256).

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

64439424 is a wasteful number, since it uses less digits than its factorization.

64439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 64439424 is about 8027.4170191912. The cubic root of 64439424 is about 400.9133794242.

The spelling of 64439424 in words is "sixty-four million, four hundred thirty-nine thousand, four hundred twenty-four".