4253763600 has 360 divisors, whose sum is σ = 15489321120. Its totient is φ = 1120988160.

The previous prime is 4253763599. The next prime is 4253763607. The reversal of 4253763600 is 63673524.

4253763600 is a `hidden beast` number, since 4 + 2 + 537 + 63 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (4253763607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10400196 + ... + 10400604.

It is an arithmetic number, because the mean of its divisors is an integer number (43025892).

Almost surely, 2^4253763600 is an apocalyptic number.

4253763600 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 4253763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744660560).

4253763600 is an abundant number, since it is smaller than the sum of its proper divisors (11235557520).

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

4253763600 is a wasteful number, since it uses less digits than its factorization.

4253763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 4253763600 is about 65220.8831586939. The cubic root of 4253763600 is about 1620.2839008615.

The spelling of 4253763600 in words is "four billion, two hundred fifty-three million, seven hundred sixty-three thousand, six hundred".