4259251200 has 264 divisors, whose sum is σ = 14539267840. Its totient is φ = 1098547200.

The previous prime is 4259251193. The next prime is 4259251201. The reversal of 4259251200 is 21529524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4259251201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2379906 + ... + 2381694.

Almost surely, 2^4259251200 is an apocalyptic number.

4259251200 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 4259251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269633920).

4259251200 is an abundant number, since it is smaller than the sum of its proper divisors (10280016640).

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

4259251200 is a wasteful number, since it uses less digits than its factorization.

4259251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 4259251200 is about 65262.9389470012. The cubic root of 4259251200 is about 1620.9803546379.

The spelling of 4259251200 in words is "four billion, two hundred fifty-nine million, two hundred fifty-one thousand, two hundred".