4253086800 has 90 divisors (see below), whose sum is σ = 14759405102. Its totient is φ = 1134155520.

The previous prime is 4253086793. The next prime is 4253086811. The reversal of 4253086800 is 86803524.

4253086800 is a `hidden beast` number, since 42 + 530 + 8 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 211179024 + 4041907776 = 14532^2 + 63576^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 587107 + ... + 594306.

Almost surely, 2^4253086800 is an apocalyptic number.

4253086800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4253086800 is an abundant number, since it is smaller than the sum of its proper divisors (10506318302).

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

4253086800 is a wasteful number, since it uses less digits than its factorization.

4253086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181437 (or 1181423 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4253086800 is about 65215.6944300986. The cubic root of 4253086800 is about 1620.1979639194.

The spelling of 4253086800 in words is "four billion, two hundred fifty-three million, eighty-six thousand, eight hundred".