4458464640 has 1024 divisors, whose sum is σ = 19740672000. Its totient is φ = 928972800.

The previous prime is 4458464597. The next prime is 4458464653. The reversal of 4458464640 is 464648544.

4458464640 is a `hidden beast` number, since 4 + 4 + 584 + 6 + 4 + 64 + 0 = 666.

It is a super-2 number, since 2×4458464640² = 39755813892260659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108743020 + ... + 108743060.

It is an arithmetic number, because the mean of its divisors is an integer number (19278000).

Almost surely, 2^4458464640 is an apocalyptic number.

4458464640 is a gapful number since it is divisible by the number (40) 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 4458464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336000).

4458464640 is an abundant number, since it is smaller than the sum of its proper divisors (15282207360).

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

4458464640 is a wasteful number, since it uses less digits than its factorization.

4458464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The square root of 4458464640 is about 66771.7353376412. The cubic root of 4458464640 is about 1645.8684069451.

The spelling of 4458464640 in words is "four billion, four hundred fifty-eight million, four hundred sixty-four thousand, six hundred forty".