4484390400 has 720 divisors, whose sum is σ = 18839044224. Its totient is φ = 997539840.

The previous prime is 4484390399. The next prime is 4484390411. The reversal of 4484390400 is 40934844.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4484390400² = 40219514519224320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54028759 + ... + 54028841.

Almost surely, 2^4484390400 is an apocalyptic number.

4484390400 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 4484390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9419522112).

4484390400 is an abundant number, since it is smaller than the sum of its proper divisors (14354653824).

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

4484390400 is a wasteful number, since it uses less digits than its factorization.

4484390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4484390400 is about 66965.5911644182. The cubic root of 4484390400 is about 1649.0524587169.

The spelling of 4484390400 in words is "four billion, four hundred eighty-four million, three hundred ninety thousand, four hundred".