4628560 has 40 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 1810560.

The previous prime is 4628551. The next prime is 4628567. The reversal of 4628560 is 658264.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628567) 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 7 ways as a sum of consecutive naturals, for example, 3145 + ... + 4375.

Almost surely, 2^4628560 is an apocalyptic number.

4628560 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 4628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

4628560 is an abundant number, since it is smaller than the sum of its proper divisors (6370736).

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

4628560 is a wasteful number, since it uses less digits than its factorization.

4628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 4628560 is about 2151.4088407367. The cubic root of 4628560 is about 166.6538301225.

The spelling of 4628560 in words is "four million, six hundred twenty-eight thousand, five hundred sixty".