4492202400 has 864 divisors, whose sum is σ = 19742486400. Its totient is φ = 957358080.

The previous prime is 4492202371. The next prime is 4492202401. The reversal of 4492202400 is 42022944.

It is not an unprimeable number, because it can be changed into a prime (4492202401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41983147 + ... + 41983253.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 2^4492202400 is an apocalyptic number.

4492202400 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 4492202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9871243200).

4492202400 is an abundant number, since it is smaller than the sum of its proper divisors (15250284000).

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

4492202400 is a wasteful number, since it uses less digits than its factorization.

4492202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4492202400 is about 67023.8942467535. The cubic root of 4492202400 is about 1650.0094765296.

The spelling of 4492202400 in words is "four billion, four hundred ninety-two million, two hundred two thousand, four hundred".