4416000 has 160 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 1126400.

The previous prime is 4415993. The next prime is 4416007. The reversal of 4416000 is 6144.

It is an interprime number because it is at equal distance from previous prime (4415993) and next prime (4416007).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4416007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191989 + ... + 192011.

Almost surely, 2^4416000 is an apocalyptic number.

4416000 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 4416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

4416000 is an abundant number, since it is smaller than the sum of its proper divisors (10904448).

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

4416000 is an equidigital number, since it uses as much as digits as its factorization.

4416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4416000 is about 2101.4280858502. The cubic root of 4416000 is about 164.0626371881.

It can be divided in two parts, 441 and 6000, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 4416000 in words is "four million, four hundred sixteen thousand".