4690416000 has 512 divisors, whose sum is σ = 16930368000. Its totient is φ = 1144627200.

The previous prime is 4690415993. The next prime is 4690416047. The reversal of 4690416000 is 6140964.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33743931 + ... + 33744069.

It is an arithmetic number, because the mean of its divisors is an integer number (33067125).

Almost surely, 2^4690416000 is an apocalyptic number.

4690416000 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 4690416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465184000).

4690416000 is an abundant number, since it is smaller than the sum of its proper divisors (12239952000).

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

4690416000 is a wasteful number, since it uses less digits than its factorization.

4690416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4690416000 is about 68486.6118303424. The cubic root of 4690416000 is about 1673.9293373106.

Adding to 4690416000 its reverse (6140964), we get a palindrome (4696556964).

The spelling of 4690416000 in words is "four billion, six hundred ninety million, four hundred sixteen thousand".