4290146208 has 120 divisors (see below), whose sum is σ = 13165957728. Its totient is φ = 1367853696.

The previous prime is 4290146183. The next prime is 4290146251. The reversal of 4290146208 is 8026410924.

4290146208 is a `hidden beast` number, since 4 + 29 + 0 + 1 + 4 + 620 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23635 + ... + 95597.

Almost surely, 2^4290146208 is an apocalyptic number.

4290146208 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 4290146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582978864).

4290146208 is an abundant number, since it is smaller than the sum of its proper divisors (8875811520).

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

4290146208 is a wasteful number, since it uses less digits than its factorization.

4290146208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72008 (or 71991 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4290146208 is about 65499.2076898645. The cubic root of 4290146208 is about 1624.8902436955.

The spelling of 4290146208 in words is "four billion, two hundred ninety million, one hundred forty-six thousand, two hundred eight".