441516096 has 280 divisors, whose sum is σ = 1563745920. Its totient is φ = 120662784.

The previous prime is 441516083. The next prime is 441516107. The reversal of 441516096 is 690615144.

441516096 is a `hidden beast` number, since 4 + 41 + 5 + 1 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 441516096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19196341 + ... + 19196363.

Almost surely, 2^441516096 is an apocalyptic number.

441516096 is a gapful number since it is divisible by the number (46) 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 441516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781872960).

441516096 is an abundant number, since it is smaller than the sum of its proper divisors (1122229824).

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

441516096 is an frugal number, since it uses more digits than its factorization.

441516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 441516096 is about 21012.2844069844. The cubic root of 441516096 is about 761.4630726812.

The spelling of 441516096 in words is "four hundred forty-one million, five hundred sixteen thousand, ninety-six".