4200254520 has 256 divisors, whose sum is σ = 16032384000. Its totient is φ = 872686080.

The previous prime is 4200254497. The next prime is 4200254543. The reversal of 4200254520 is 254520024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4200254497) and next prime (4200254543).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 448122 + ... + 457398.

It is an arithmetic number, because the mean of its divisors is an integer number (62626500).

Almost surely, 2^4200254520 is an apocalyptic number.

4200254520 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 4200254520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016192000).

4200254520 is an abundant number, since it is smaller than the sum of its proper divisors (11832129480).

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

4200254520 is a wasteful number, since it uses less digits than its factorization.

4200254520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 4200254520 is about 64809.3706187616. The cubic root of 4200254520 is about 1613.4612366249.

Adding to 4200254520 its reverse (254520024), we get a palindrome (4454774544).

The spelling of 4200254520 in words is "four billion, two hundred million, two hundred fifty-four thousand, five hundred twenty".