4562201600 has 264 divisors, whose sum is σ = 13076203248. Its totient is φ = 1559756800.

The previous prime is 4562201599. The next prime is 4562201627. The reversal of 4562201600 is 61022654.

It is a self number, because there is not a number n which added to its sum of digits gives 4562201600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4786724 + ... + 4787676.

Almost surely, 2^4562201600 is an apocalyptic number.

4562201600 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 4562201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538101624).

4562201600 is an abundant number, since it is smaller than the sum of its proper divisors (8514001648).

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

4562201600 is a wasteful number, since it uses less digits than its factorization.

4562201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4562201600 is about 67544.0715385148. The cubic root of 4562201600 is about 1658.5357000474.

The spelling of 4562201600 in words is "four billion, five hundred sixty-two million, two hundred one thousand, six hundred".