4786920 has 48 divisors (see below), whose sum is σ = 15558660. Its totient is φ = 1276416.

The previous prime is 4786913. The next prime is 4786937. The reversal of 4786920 is 296874.

It can be written as a sum of positive squares in 2 ways, for example, as 3944196 + 842724 = 1986^2 + 918^2 .

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

It is a d-powerful number, because it can be written as 4⁴ + 7³ + 8 + 6⁴ + 9⁷ + 2¹¹ + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6289 + ... + 7008.

Almost surely, 2^4786920 is an apocalyptic number.

4786920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4786920 is an abundant number, since it is smaller than the sum of its proper divisors (10771740).

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

4786920 is a wasteful number, since it uses less digits than its factorization.

4786920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13314 (or 13307 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4786920 is about 2187.9031057156. The cubic root of 4786920 is about 168.5331700703.

The spelling of 4786920 in words is "four million, seven hundred eighty-six thousand, nine hundred twenty".