4690504000 has 448 divisors, whose sum is σ = 15177576960. Its totient is φ = 1393459200.

The previous prime is 4690503997. The next prime is 4690504001. The reversal of 4690504000 is 4050964.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4690504000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690504001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12375811 + ... + 12376189.

It is an arithmetic number, because the mean of its divisors is an integer number (33878520).

Almost surely, 2^4690504000 is an apocalyptic number.

4690504000 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 4690504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

4690504000 is an abundant number, since it is smaller than the sum of its proper divisors (10487072960).

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

4690504000 is a wasteful number, since it uses less digits than its factorization.

4690504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4690504000 is about 68487.2542886631. The cubic root of 4690504000 is about 1673.9398058107.

Adding to 4690504000 its reverse (4050964), we get a palindrome (4694554964).

The spelling of 4690504000 in words is "four billion, six hundred ninety million, five hundred four thousand".