4243478800 has 120 divisors (see below), whose sum is σ = 11776201632. Its totient is φ = 1452288000.

The previous prime is 4243478773. The next prime is 4243478839. The reversal of 4243478800 is 88743424.

It is a super-2 number, since 2×4243478800² = 36014224652098880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46435 + ... + 103165.

Almost surely, 2^4243478800 is an apocalyptic number.

4243478800 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 4243478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888100816).

4243478800 is an abundant number, since it is smaller than the sum of its proper divisors (7532722832).

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

4243478800 is a wasteful number, since it uses less digits than its factorization.

4243478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56777 (or 56766 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 4243478800 is about 65141.9895305632. The cubic root of 4243478800 is about 1618.9769998143.

The spelling of 4243478800 in words is "four billion, two hundred forty-three million, four hundred seventy-eight thousand, eight hundred".