4290563808 has 144 divisors (see below), whose sum is σ = 12626817840. Its totient is φ = 1380907008.

The previous prime is 4290563791. The next prime is 4290563813. The reversal of 4290563808 is 8083650924.

4290563808 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 5 + 638 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458403 + ... + 1461341.

It is an arithmetic number, because the mean of its divisors is an integer number (87686235).

Almost surely, 2^4290563808 is an apocalyptic number.

4290563808 is a gapful number since it is divisible by the number (48) 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 4290563808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313408920).

4290563808 is an abundant number, since it is smaller than the sum of its proper divisors (8336254032).

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

4290563808 is a wasteful number, since it uses less digits than its factorization.

4290563808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4290563808 is about 65502.3954371136. The cubic root of 4290563808 is about 1624.9429638995.

The spelling of 4290563808 in words is "four billion, two hundred ninety million, five hundred sixty-three thousand, eight hundred eight".