4404295000 has 320 divisors, whose sum is σ = 12820896000. Its totient is φ = 1384128000.

The previous prime is 4404294967. The next prime is 4404295013. The reversal of 4404295000 is 5924044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4404295000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24604911 + ... + 24605089.

It is an arithmetic number, because the mean of its divisors is an integer number (40065300).

Almost surely, 2^4404295000 is an apocalyptic number.

4404295000 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 4404295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410448000).

4404295000 is an abundant number, since it is smaller than the sum of its proper divisors (8416601000).

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

4404295000 is a wasteful number, since it uses less digits than its factorization.

4404295000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4404295000 is about 66364.8626910355. The cubic root of 4404295000 is about 1639.1755473338.

The spelling of 4404295000 in words is "four billion, four hundred four million, two hundred ninety-five thousand".