4793204160 has 280 divisors, whose sum is σ = 17142933456. Its totient is φ = 1276508160.

The previous prime is 4793204123. The next prime is 4793204161. The reversal of 4793204160 is 614023974.

4793204160 is a `hidden beast` number, since 479 + 3 + 20 + 4 + 160 = 666.

It is a super-2 number, since 2×4793204160² = 45949612238882611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4793204161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6298180 + ... + 6298940.

Almost surely, 2^4793204160 is an apocalyptic number.

4793204160 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 4793204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571466728).

4793204160 is an abundant number, since it is smaller than the sum of its proper divisors (12349729296).

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

4793204160 is an frugal number, since it uses more digits than its factorization.

4793204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4793204160 is about 69232.9701803989. The cubic root of 4793204160 is about 1686.0688666289.

The spelling of 4793204160 in words is "four billion, seven hundred ninety-three million, two hundred four thousand, one hundred sixty".