4705477920 has 480 divisors, whose sum is σ = 19517319360. Its totient is φ = 1052559360.

The previous prime is 4705477919. The next prime is 4705477921. The reversal of 4705477920 is 297745074.

It is an interprime number because it is at equal distance from previous prime (4705477919) and next prime (4705477921).

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 (45).

It is not an unprimeable number, because it can be changed into a prime (4705477921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1852011 + ... + 1854549.

It is an arithmetic number, because the mean of its divisors is an integer number (40661082).

Almost surely, 2^4705477920 is an apocalyptic number.

4705477920 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 4705477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9758659680).

4705477920 is an abundant number, since it is smaller than the sum of its proper divisors (14811841440).

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

4705477920 is a wasteful number, since it uses less digits than its factorization.

4705477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 4705477920 is about 68596.4862073853. The cubic root of 4705477920 is about 1675.7192034370.

The spelling of 4705477920 in words is "four billion, seven hundred five million, four hundred seventy-seven thousand, nine hundred twenty".