4459224000 has 896 divisors, whose sum is σ = 19475988480. Its totient is φ = 870912000.

The previous prime is 4459223983. The next prime is 4459224017. The reversal of 4459224000 is 4229544.

It is an interprime number because it is at equal distance from previous prime (4459223983) and next prime (4459224017).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 35111937 + ... + 35112063.

Almost surely, 2^4459224000 is an apocalyptic number.

4459224000 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 4459224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737994240).

4459224000 is an abundant number, since it is smaller than the sum of its proper divisors (15016764480).

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

4459224000 is a wasteful number, since it uses less digits than its factorization.

4459224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4459224000 is about 66777.4213338610. The cubic root of 4459224000 is about 1645.9618423753.

The spelling of 4459224000 in words is "four billion, four hundred fifty-nine million, two hundred twenty-four thousand".