4690224000 has 1280 divisors, whose sum is σ = 22180055040. Its totient is φ = 953856000.

The previous prime is 4690223977. The next prime is 4690224001. The reversal of 4690224000 is 4220964.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690224001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99791977 + ... + 99792023.

It is an arithmetic number, because the mean of its divisors is an integer number (17328168).

Almost surely, 2^4690224000 is an apocalyptic number.

4690224000 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 4690224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090027520).

4690224000 is an abundant number, since it is smaller than the sum of its proper divisors (17489831040).

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

4690224000 is a wasteful number, since it uses less digits than its factorization.

4690224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4690224000 is about 68485.2100821776. The cubic root of 4690224000 is about 1673.9064964924.

Adding to 4690224000 its reverse (4220964), we get a palindrome (4694444964).

The spelling of 4690224000 in words is "four billion, six hundred ninety million, two hundred twenty-four thousand".