4252257360 has 240 divisors, whose sum is σ = 15487290000. Its totient is φ = 1039343616.

The previous prime is 4252257349. The next prime is 4252257371. The reversal of 4252257360 is 637522524.

4252257360 is a `hidden beast` number, since 4 + 2 + 5 + 22 + 573 + 60 = 666.

4252257360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4252257349) and next prime (4252257371).

It can be written as a sum of positive squares in 8 ways, for example, as 1805570064 + 2446687296 = 42492^2 + 49464^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1393116 + ... + 1396164.

It is an arithmetic number, because the mean of its divisors is an integer number (64530375).

Almost surely, 2^4252257360 is an apocalyptic number.

4252257360 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 4252257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743645000).

4252257360 is an abundant number, since it is smaller than the sum of its proper divisors (11235032640).

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

4252257360 is a wasteful number, since it uses less digits than its factorization.

4252257360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4252257360 is about 65209.3349145657. The cubic root of 4252257360 is about 1620.0926330204.

Adding to 4252257360 its reverse (637522524), we get a palindrome (4889779884).

The spelling of 4252257360 in words is "four billion, two hundred fifty-two million, two hundred fifty-seven thousand, three hundred sixty".