4253644800 has 576 divisors, whose sum is σ = 16634872800. Its totient is φ = 1061683200.

The previous prime is 4253644781. The next prime is 4253644831. The reversal of 4253644800 is 84463524.

4253644800 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 644 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 23500710 + ... + 23500890.

Almost surely, 2^4253644800 is an apocalyptic number.

4253644800 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 4253644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317436400).

4253644800 is an abundant number, since it is smaller than the sum of its proper divisors (12381228000).

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

4253644800 is a wasteful number, since it uses less digits than its factorization.

4253644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4253644800 is about 65219.9724010981. The cubic root of 4253644800 is about 1620.2688168451.

The spelling of 4253644800 in words is "four billion, two hundred fifty-three million, six hundred forty-four thousand, eight hundred".