4704893952 has 352 divisors, whose sum is σ = 14516734464. Its totient is φ = 1341849600.

The previous prime is 4704893933. The next prime is 4704893957. The reversal of 4704893952 is 2593984074.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4704893895 and 4704893904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4704893957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66266077 + ... + 66266147.

Almost surely, 2^4704893952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4704893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258367232).

4704893952 is an abundant number, since it is smaller than the sum of its proper divisors (9811840512).

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

4704893952 is a wasteful number, since it uses less digits than its factorization.

4704893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 4704893952 is about 68592.2295307566. The cubic root of 4704893952 is about 1675.6498794921.

The spelling of 4704893952 in words is "four billion, seven hundred four million, eight hundred ninety-three thousand, nine hundred fifty-two".