4579920 has 60 divisors (see below), whose sum is σ = 15383316. Its totient is φ = 1221120.

The previous prime is 4579903. The next prime is 4579933. The reversal of 4579920 is 299754.

4579920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 3196944 = 1176^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2461 + ... + 3900.

Almost surely, 2^4579920 is an apocalyptic number.

4579920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4579920 is an abundant number, since it is smaller than the sum of its proper divisors (10803396).

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

4579920 is a wasteful number, since it uses less digits than its factorization.

4579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4579920 is about 2140.0747650491. The cubic root of 4579920 is about 166.0680032989.

The spelling of 4579920 in words is "four million, five hundred seventy-nine thousand, nine hundred twenty".