4251522400 has 144 divisors (see below), whose sum is σ = 10888365600. Its totient is φ = 1617960960.

The previous prime is 4251522391. The next prime is 4251522419. The reversal of 4251522400 is 42251524.

4251522400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4213096 + ... + 4214104.

It is an arithmetic number, because the mean of its divisors is an integer number (75613650).

Almost surely, 2^4251522400 is an apocalyptic number.

4251522400 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 4251522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444182800).

4251522400 is an abundant number, since it is smaller than the sum of its proper divisors (6636843200).

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

4251522400 is a wasteful number, since it uses less digits than its factorization.

4251522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4251522400 is about 65203.6992815592. The cubic root of 4251522400 is about 1619.9992887260. Note that the first 3 decimals are identical.

Adding to 4251522400 its reverse (42251524), we get a palindrome (4293773924).

The spelling of 4251522400 in words is "four billion, two hundred fifty-one million, five hundred twenty-two thousand, four hundred".