4250284800 has 432 divisors, whose sum is σ = 15085701120. Its totient is φ = 1050624000.

The previous prime is 4250284799. The next prime is 4250284807. The reversal of 4250284800 is 84820524.

It is a happy number.

It is a super-2 number, since 2×4250284800² = 36129841762222080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4250284807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22252705 + ... + 22252895.

Almost surely, 2^4250284800 is an apocalyptic number.

4250284800 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 4250284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542850560).

4250284800 is an abundant number, since it is smaller than the sum of its proper divisors (10835416320).

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

4250284800 is a wasteful number, since it uses less digits than its factorization.

4250284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 4250284800 is about 65194.2083317222. The cubic root of 4250284800 is about 1619.8420818479.

The spelling of 4250284800 in words is "four billion, two hundred fifty million, two hundred eighty-four thousand, eight hundred".