4622800 has 120 divisors (see below), whose sum is σ = 13776896. Its totient is φ = 1451520.

The previous prime is 4622789. The next prime is 4622831. The reversal of 4622800 is 82264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36337 + ... + 36463.

Almost surely, 2^4622800 is an apocalyptic number.

4622800 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 4622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888448).

4622800 is an abundant number, since it is smaller than the sum of its proper divisors (9154096).

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

4622800 is a wasteful number, since it uses less digits than its factorization.

4622800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4622800 is about 2150.0697663099. The cubic root of 4622800 is about 166.5846707778.

The spelling of 4622800 in words is "four million, six hundred twenty-two thousand, eight hundred".