4283601408 has 100 divisors (see below), whose sum is σ = 12785546070. Its totient is φ = 1427853312.

The previous prime is 4283601229. The next prime is 4283601409. The reversal of 4283601408 is 8041063824.

4283601408 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 601 + 40 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4255213824 + 28387584 = 65232^2 + 5328^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4283601409) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10173 + ... + 93116.

Almost surely, 2^4283601408 is an apocalyptic number.

4283601408 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 4283601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392773035).

4283601408 is an abundant number, since it is smaller than the sum of its proper divisors (8501944662).

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

4283601408 is an equidigital number, since it uses as much as digits as its factorization.

4283601408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103319 (or 103294 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4283601408 is about 65449.2277112572. The cubic root of 4283601408 is about 1624.0635435028.

The spelling of 4283601408 in words is "four billion, two hundred eighty-three million, six hundred one thousand, four hundred eight".