4628800 has 84 divisors (see below), whose sum is σ = 12472416. Its totient is φ = 1676800.

The previous prime is 4628797. The next prime is 4628803. The reversal of 4628800 is 88264.

It is an interprime number because it is at equal distance from previous prime (4628797) and next prime (4628803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628803) 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, 17469 + ... + 17731.

Almost surely, 2^4628800 is an apocalyptic number.

4628800 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 4628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236208).

4628800 is an abundant number, since it is smaller than the sum of its proper divisors (7843616).

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

4628800 is a wasteful number, since it uses less digits than its factorization.

4628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4628800 is about 2151.4646174176. The cubic root of 4628800 is about 166.6567105164.

The spelling of 4628800 in words is "four million, six hundred twenty-eight thousand, eight hundred".