441378000 has 480 divisors, whose sum is σ = 1834739712. Its totient is φ = 96768000.

The previous prime is 441377957. The next prime is 441378001. The reversal of 441378000 is 873144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441378001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3905944 + ... + 3906056.

Almost surely, 2^441378000 is an apocalyptic number.

441378000 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 441378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917369856).

441378000 is an abundant number, since it is smaller than the sum of its proper divisors (1393361712).

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

441378000 is a wasteful number, since it uses less digits than its factorization.

441378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 441378000 is about 21008.9980722547. The cubic root of 441378000 is about 761.3836750702.

The spelling of 441378000 in words is "four hundred forty-one million, three hundred seventy-eight thousand".