441251064 has 96 divisors (see below), whose sum is σ = 1259971440. Its totient is φ = 144672480.

The previous prime is 441251047. The next prime is 441251071. The reversal of 441251064 is 460152144.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×441251064³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7233594 + ... + 7233654.

Almost surely, 2^441251064 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 441251064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629985720).

441251064 is an abundant number, since it is smaller than the sum of its proper divisors (818720376).

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

441251064 is an frugal number, since it uses more digits than its factorization.

441251064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 441251064 is about 21005.9768637405. The cubic root of 441251064 is about 761.3106792370.

The spelling of 441251064 in words is "four hundred forty-one million, two hundred fifty-one thousand, sixty-four".