4628960 has 48 divisors (see below), whose sum is σ = 12501216. Its totient is φ = 1586688.

The previous prime is 4628929. The next prime is 4628969. The reversal of 4628960 is 698264.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4628960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628969) 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, 947 + ... + 3186.

It is an arithmetic number, because the mean of its divisors is an integer number (260442).

Almost surely, 2^4628960 is an apocalyptic number.

4628960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4628960 is an abundant number, since it is smaller than the sum of its proper divisors (7872256).

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

4628960 is a wasteful number, since it uses less digits than its factorization.

4628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 4628960 is about 2151.5018010683. The cubic root of 4628960 is about 166.6586307237.

The spelling of 4628960 in words is "four million, six hundred twenty-eight thousand, nine hundred sixty".