4674800 has 120 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 1612800.

The previous prime is 4674797. The next prime is 4674821. The reversal of 4674800 is 84764.

4674800 = T₅₉₉ + T₆₀₀ + ... + T₆₂₃.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150785 + ... + 150815.

It is an arithmetic number, because the mean of its divisors is an integer number (107632).

Almost surely, 2^4674800 is an apocalyptic number.

4674800 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 4674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

4674800 is an abundant number, since it is smaller than the sum of its proper divisors (8241040).

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

4674800 is a wasteful number, since it uses less digits than its factorization.

4674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 4674800 is about 2162.1285808203. The cubic root of 4674800 is about 167.2069577319.

The spelling of 4674800 in words is "four million, six hundred seventy-four thousand, eight hundred".