4220546400 has 432 divisors, whose sum is σ = 17366076000. Its totient is φ = 964131840.

The previous prime is 4220546387. The next prime is 4220546417. The reversal of 4220546400 is 46450224.

4220546400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2468746 + ... + 2470454.

It is an arithmetic number, because the mean of its divisors is an integer number (40199250).

Almost surely, 2^4220546400 is an apocalyptic number.

4220546400 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 4220546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683038000).

4220546400 is an abundant number, since it is smaller than the sum of its proper divisors (13145529600).

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

4220546400 is a wasteful number, since it uses less digits than its factorization.

4220546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4220546400 is about 64965.7325056833. The cubic root of 4220546400 is about 1616.0553317328.

Adding to 4220546400 its reverse (46450224), we get a palindrome (4266996624).

The spelling of 4220546400 in words is "four billion, two hundred twenty million, five hundred forty-six thousand, four hundred".