4490438400 has 972 divisors, whose sum is σ = 19626238632. Its totient is φ = 975421440.

The previous prime is 4490438399. The next prime is 4490438431. The reversal of 4490438400 is 48340944.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 104428779 + ... + 104428821.

Almost surely, 2^4490438400 is an apocalyptic number.

4490438400 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 4490438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9813119316).

4490438400 is an abundant number, since it is smaller than the sum of its proper divisors (15135800232).

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

4490438400 is a wasteful number, since it uses less digits than its factorization.

4490438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

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

The square root of 4490438400 is about 67010.7334686019. The cubic root of 4490438400 is about 1649.7934727731.

The spelling of 4490438400 in words is "four billion, four hundred ninety million, four hundred thirty-eight thousand, four hundred".