4254382800 has 90 divisors (see below), whose sum is σ = 14763902582. Its totient is φ = 1134501120.

The previous prime is 4254382789. The next prime is 4254382807. The reversal of 4254382800 is 82834524.

It can be written as a sum of positive squares in 3 ways, for example, as 478034496 + 3776348304 = 21864^2 + 61452^2 .

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 not an unprimeable number, because it can be changed into a prime (4254382807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 587287 + ... + 594486.

Almost surely, 2^4254382800 is an apocalyptic number.

4254382800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4254382800 is an abundant number, since it is smaller than the sum of its proper divisors (10509519782).

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

4254382800 is a wasteful number, since it uses less digits than its factorization.

4254382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181797 (or 1181783 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4254382800 is about 65225.6299317990. The cubic root of 4254382800 is about 1620.3625160369.

The spelling of 4254382800 in words is "four billion, two hundred fifty-four million, three hundred eighty-two thousand, eight hundred".