4760920 has 32 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 1857280.

The previous prime is 4760893. The next prime is 4760927. The reversal of 4760920 is 290674.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4¹¹ + 7⁴ + 6 + 0 + 9⁶ + 2¹⁵ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 3091.

It is an arithmetic number, because the mean of its divisors is an integer number (343035).

Almost surely, 2^4760920 is an apocalyptic number.

4760920 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 4760920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

4760920 is an abundant number, since it is smaller than the sum of its proper divisors (6216200).

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

4760920 is a wasteful number, since it uses less digits than its factorization.

4760920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 4760920 is about 2181.9532533948. The cubic root of 4760920 is about 168.2274884934.

The spelling of 4760920 in words is "four million, seven hundred sixty thousand, nine hundred twenty".