4212454800 has 120 divisors (see below), whose sum is σ = 13823177760. Its totient is φ = 1095910400.

The previous prime is 4212454783. The next prime is 4212454819. The reversal of 4212454800 is 84542124.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6391 + ... + 92009.

It is an arithmetic number, because the mean of its divisors is an integer number (115193148).

Almost surely, 2^4212454800 is an apocalyptic number.

4212454800 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 4212454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911588880).

4212454800 is an abundant number, since it is smaller than the sum of its proper divisors (9610722960).

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

4212454800 is a wasteful number, since it uses less digits than its factorization.

4212454800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85681 (or 85670 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 4212454800 is about 64903.4267200122. The cubic root of 4212454800 is about 1615.0219079610.

Adding to 4212454800 its reverse (84542124), we get a palindrome (4296996924).

The spelling of 4212454800 in words is "four billion, two hundred twelve million, four hundred fifty-four thousand, eight hundred".