4629520 has 60 divisors (see below), whose sum is σ = 12531564. Its totient is φ = 1585920.

The previous prime is 4629517. The next prime is 4629523. The reversal of 4629520 is 259264.

It is an interprime number because it is at equal distance from previous prime (4629517) and next prime (4629523).

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 1517824 = 1764^2 + 1232^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4629523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3330 + ... + 4510.

Almost surely, 2^4629520 is an apocalyptic number.

4629520 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 4629520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265782).

4629520 is an abundant number, since it is smaller than the sum of its proper divisors (7902044).

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

4629520 is a wasteful number, since it uses less digits than its factorization.

4629520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4629520 is about 2151.6319387851. The cubic root of 4629520 is about 166.6653511007.

The spelling of 4629520 in words is "four million, six hundred twenty-nine thousand, five hundred twenty".