4426800 has 240 divisors, whose sum is σ = 17713152. Its totient is φ = 921600.

The previous prime is 4426781. The next prime is 4426813. The reversal of 4426800 is 86244.

4426800 = T₇₆ + T₇₇ + ... + T₂₉₉.

4426800 is a nontrivial binomial coefficient, being equal to C(2976, 2).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142785 + ... + 142815.

Almost surely, 2^4426800 is an apocalyptic number.

4426800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4426800 is the 2975-th triangular number and also the 1488-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856576).

4426800 is an abundant number, since it is smaller than the sum of its proper divisors (13286352).

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

4426800 is a wasteful number, since it uses less digits than its factorization.

4426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4426800 is about 2103.9961977152. The cubic root of 4426800 is about 164.1962750184.

The spelling of 4426800 in words is "four million, four hundred twenty-six thousand, eight hundred".