4464000420 has 192 divisors, whose sum is σ = 14829163776. Its totient is φ = 990904320.

The previous prime is 4464000407. The next prime is 4464000433. The reversal of 4464000420 is 240004644.

It is an interprime number because it is at equal distance from previous prime (4464000407) and next prime (4464000433).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409764 + ... + 420516.

It is an arithmetic number, because the mean of its divisors is an integer number (77235228).

Almost surely, 2^4464000420 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 4464000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414581888).

4464000420 is an abundant number, since it is smaller than the sum of its proper divisors (10365163356).

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

4464000420 is a wasteful number, since it uses less digits than its factorization.

4464000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10830 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4464000420 is about 66813.1754970530. The cubic root of 4464000420 is about 1646.5493137769.

The spelling of 4464000420 in words is "four billion, four hundred sixty-four million, four hundred twenty", and thus it is an aban number.