441252000 has 576 divisors, whose sum is σ = 1913393664. Its totient is φ = 94003200.

The previous prime is 441251999. The next prime is 441252001. The reversal of 441252000 is 252144.

Added to its reverse (252144) it gives a square (441504144 = 21012²).

441252000 is a `hidden beast` number, since 441 + 25 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (441251999) and next prime (441252001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (441252001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283949 + ... + 4284051.

It is an arithmetic number, because the mean of its divisors is an integer number (3321864).

Almost surely, 2^441252000 is an apocalyptic number.

441252000 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 441252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956696832).

441252000 is an abundant number, since it is smaller than the sum of its proper divisors (1472141664).

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

441252000 is a wasteful number, since it uses less digits than its factorization.

441252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 441252000 is about 21005.9991431020. Note that the first 3 decimals coincide. The cubic root of 441252000 is about 761.3112175445.

Adding to 441252000 its reverse (252144), we get a square (441504144 = 21012²).

The spelling of 441252000 in words is "four hundred forty-one million, two hundred fifty-two thousand".