4385086464 has 264 divisors, whose sum is σ = 13172592384. Its totient is φ = 1295360000.

The previous prime is 4385086463. The next prime is 4385086483. The reversal of 4385086464 is 4646805834.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4385086463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17470339 + ... + 17470589.

Almost surely, 2^4385086464 is an apocalyptic number.

4385086464 is a gapful number since it is divisible by the number (44) 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 4385086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586296192).

4385086464 is an abundant number, since it is smaller than the sum of its proper divisors (8787505920).

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

4385086464 is a wasteful number, since it uses less digits than its factorization.

4385086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The square root of 4385086464 is about 66219.9853820582. The cubic root of 4385086464 is about 1636.7890853706.

The spelling of 4385086464 in words is "four billion, three hundred eighty-five million, eighty-six thousand, four hundred sixty-four".