440380080 has 480 divisors, whose sum is σ = 1838453760. Its totient is φ = 92252160.

The previous prime is 440380069. The next prime is 440380091. The reversal of 440380080 is 80083044.

It is an interprime number because it is at equal distance from previous prime (440380069) and next prime (440380091).

It is a super-3 number, since 3×440380080³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3361615 + ... + 3361745.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^440380080 is an apocalyptic number.

440380080 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 440380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919226880).

440380080 is an abundant number, since it is smaller than the sum of its proper divisors (1398073680).

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

440380080 is a wasteful number, since it uses less digits than its factorization.

440380080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 440380080 is about 20985.2348092653. The cubic root of 440380080 is about 760.8094330880.

The spelling of 440380080 in words is "four hundred forty million, three hundred eighty thousand, eighty".