441350120 has 32 divisors (see below), whose sum is σ = 995224320. Its totient is φ = 176151360.

The previous prime is 441350113. The next prime is 441350137. The reversal of 441350120 is 21053144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 441350092 and 441350101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6605 + ... + 30435.

It is an arithmetic number, because the mean of its divisors is an integer number (31100760).

Almost surely, 2^441350120 is an apocalyptic number.

441350120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441350120 is an abundant number, since it is smaller than the sum of its proper divisors (553874200).

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

441350120 is a wasteful number, since it uses less digits than its factorization.

441350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24305 (or 24301 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 441350120 is about 21008.3345365595. The cubic root of 441350120 is about 761.3676435931.

The spelling of 441350120 in words is "four hundred forty-one million, three hundred fifty thousand, one hundred twenty".