4404920400 has 240 divisors, whose sum is σ = 15760707520. Its totient is φ = 1168473600.

The previous prime is 4404920389. The next prime is 4404920419. The reversal of 4404920400 is 40294044.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277834 + ... + 2279766.

Almost surely, 2^4404920400 is an apocalyptic number.

4404920400 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 4404920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880353760).

4404920400 is an abundant number, since it is smaller than the sum of its proper divisors (11355787120).

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

4404920400 is a wasteful number, since it uses less digits than its factorization.

4404920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4404920400 is about 66369.5743545188. The cubic root of 4404920400 is about 1639.2531300774.

The spelling of 4404920400 in words is "four billion, four hundred four million, nine hundred twenty thousand, four hundred".