441252864 has 264 divisors, whose sum is σ = 1430607360. Its totient is φ = 130056192.

The previous prime is 441252863. The next prime is 441252869. The reversal of 441252864 is 468252144.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441252863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474369 + ... + 3474495.

Almost surely, 2^441252864 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 441252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715303680).

441252864 is an abundant number, since it is smaller than the sum of its proper divisors (989354496).

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

441252864 is a wasteful number, since it uses less digits than its factorization.

441252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 441252864 is about 21006.0197086454. The cubic root of 441252864 is about 761.3117144431.

The spelling of 441252864 in words is "four hundred forty-one million, two hundred fifty-two thousand, eight hundred sixty-four".