4876920 has 192 divisors, whose sum is σ = 17971200. Its totient is φ = 1140480.

The previous prime is 4876913. The next prime is 4876957. The reversal of 4876920 is 296784.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157305 + ... + 157335.

It is an arithmetic number, because the mean of its divisors is an integer number (93600).

Almost surely, 2^4876920 is an apocalyptic number.

4876920 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 4876920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

4876920 is an abundant number, since it is smaller than the sum of its proper divisors (13094280).

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

4876920 is a wasteful number, since it uses less digits than its factorization.

4876920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

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

The square root of 4876920 is about 2208.3749681610. The cubic root of 4876920 is about 169.5828294887.

The spelling of 4876920 in words is "four million, eight hundred seventy-six thousand, nine hundred twenty".