4200254604 has 288 divisors, whose sum is σ = 13737185280. Its totient is φ = 1052352000.

The previous prime is 4200254599. The next prime is 4200254623. The reversal of 4200254604 is 4064520024.

4200254604 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 2 + 54 + 604 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5991454 + ... + 5992154.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 2^4200254604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200254604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868592640).

4200254604 is an abundant number, since it is smaller than the sum of its proper divisors (9536930676).

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

4200254604 is a wasteful number, since it uses less digits than its factorization.

4200254604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4200254604 is about 64809.3712668160. The cubic root of 4200254604 is about 1613.4612473806.

Adding to 4200254604 its reverse (4064520024), we get a palindrome (8264774628).

The spelling of 4200254604 in words is "four billion, two hundred million, two hundred fifty-four thousand, six hundred four".