441687960 has 288 divisors, whose sum is σ = 1697660640. Its totient is φ = 99574272.

The previous prime is 441687941. The next prime is 441687979. The reversal of 441687960 is 69786144.

It is an interprime number because it is at equal distance from previous prime (441687941) and next prime (441687979).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6050484 + ... + 6050556.

It is an arithmetic number, because the mean of its divisors is an integer number (5894655).

Almost surely, 2^441687960 is an apocalyptic number.

441687960 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 441687960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848830320).

441687960 is an abundant number, since it is smaller than the sum of its proper divisors (1255972680).

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

441687960 is an equidigital number, since it uses as much as digits as its factorization.

441687960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 441687960 is about 21016.3736167779. The cubic root of 441687960 is about 761.5618619166.

The spelling of 441687960 in words is "four hundred forty-one million, six hundred eighty-seven thousand, nine hundred sixty".