4792260000 has 480 divisors, whose sum is σ = 17599716288. Its totient is φ = 1131520000.

The previous prime is 4792259977. The next prime is 4792260007. The reversal of 4792260000 is 622974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4792260000.

It is not an unprimeable number, because it can be changed into a prime (4792260007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34979932 + ... + 34980068.

Almost surely, 2^4792260000 is an apocalyptic number.

4792260000 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 4792260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799858144).

4792260000 is an abundant number, since it is smaller than the sum of its proper divisors (12807456288).

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

4792260000 is a wasteful number, since it uses less digits than its factorization.

4792260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4792260000 is about 69226.1511280239. The cubic root of 4792260000 is about 1685.9581527053.

Adding to 4792260000 its reverse (622974), we get a palindrome (4792882974).

The spelling of 4792260000 in words is "four billion, seven hundred ninety-two million, two hundred sixty thousand".