4629920 has 48 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1753344.

The previous prime is 4629917. The next prime is 4629929. The reversal of 4629920 is 299264.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4629929) 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, 2279 + ... + 3801.

It is an arithmetic number, because the mean of its divisors is an integer number (240030).

Almost surely, 2^4629920 is an apocalyptic number.

4629920 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 4629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

4629920 is an abundant number, since it is smaller than the sum of its proper divisors (6891520).

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

4629920 is a wasteful number, since it uses less digits than its factorization.

4629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 4629920 is about 2151.7248894782. The cubic root of 4629920 is about 166.6701510383.

The spelling of 4629920 in words is "four million, six hundred twenty-nine thousand, nine hundred twenty".