4474800 has 180 divisors, whose sum is σ = 17090424. Its totient is φ = 1075200.

The previous prime is 4474783. The next prime is 4474801. The reversal of 4474800 is 84744.

4474800 = T₇₅ + T₇₆ + ... + T₃₀₀.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (4474801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39544 + ... + 39656.

Almost surely, 2^4474800 is an apocalyptic number.

4474800 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 4474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545212).

4474800 is an abundant number, since it is smaller than the sum of its proper divisors (12615624).

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

4474800 is a wasteful number, since it uses less digits than its factorization.

4474800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4474800 is about 2115.3723076565. The cubic root of 4474800 is about 164.7876055026.

The spelling of 4474800 in words is "four million, four hundred seventy-four thousand, eight hundred".