4702345920 has 224 divisors, whose sum is σ = 16693286400. Its totient is φ = 1246067712.

The previous prime is 4702345913. The next prime is 4702345933. The reversal of 4702345920 is 295432074.

4702345920 is a `hidden beast` number, since 47 + 0 + 23 + 4 + 592 + 0 = 666.

It is a super-3 number, since 3×4702345920³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441251 + ... + 1444509.

It is an arithmetic number, because the mean of its divisors is an integer number (74523600).

Almost surely, 2^4702345920 is an apocalyptic number.

4702345920 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 4702345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346643200).

4702345920 is an abundant number, since it is smaller than the sum of its proper divisors (11990940480).

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

4702345920 is a wasteful number, since it uses less digits than its factorization.

4702345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4702345920 is about 68573.6532496264. The cubic root of 4702345920 is about 1675.3473306600.

Adding to 4702345920 its reverse (295432074), we get a palindrome (4997777994).

The spelling of 4702345920 in words is "four billion, seven hundred two million, three hundred forty-five thousand, nine hundred twenty".