441505416 has 64 divisors (see below), whose sum is σ = 1206446400. Its totient is φ = 133529600.

The previous prime is 441505403. The next prime is 441505429. The reversal of 441505416 is 614505144.

It is an interprime number because it is at equal distance from previous prime (441505403) and next prime (441505429).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167920 + ... + 170528.

It is an arithmetic number, because the mean of its divisors is an integer number (18850725).

Almost surely, 2^441505416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441505416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603223200).

441505416 is an abundant number, since it is smaller than the sum of its proper divisors (764940984).

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

441505416 is a wasteful number, since it uses less digits than its factorization.

441505416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 441505416 is about 21012.0302683962. The cubic root of 441505416 is about 761.4569328588.

The spelling of 441505416 in words is "four hundred forty-one million, five hundred five thousand, four hundred sixteen".