4864776 has 64 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1328448.

The previous prime is 4864747. The next prime is 4864777. The reversal of 4864776 is 6774684.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4864777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235 + ... + 4493.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^4864776 is an apocalyptic number.

4864776 is a gapful number since it is divisible by the number (46) 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 4864776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4864776 is an abundant number, since it is smaller than the sum of its proper divisors (9650424).

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

4864776 is a wasteful number, since it uses less digits than its factorization.

4864776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 4864776 is about 2205.6237213088. The cubic root of 4864776 is about 169.4419533053.

The spelling of 4864776 in words is "four million, eight hundred sixty-four thousand, seven hundred seventy-six".