441255400 has 96 divisors (see below), whose sum is σ = 1092887640. Its totient is φ = 165109760.

The previous prime is 441255389. The next prime is 441255401. The reversal of 441255400 is 4552144.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3364 + 441252036 = 58^2 + 21006^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (441255401) 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 23 ways as a sum of consecutive naturals, for example, 791922 + ... + 792478.

Almost surely, 2^441255400 is an apocalyptic number.

441255400 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 441255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546443820).

441255400 is an abundant number, since it is smaller than the sum of its proper divisors (651632240).

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

441255400 is a wasteful number, since it uses less digits than its factorization.

441255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 441255400 is about 21006.0800722077. The cubic root of 441255400 is about 761.3131729287.

The spelling of 441255400 in words is "four hundred forty-one million, two hundred fifty-five thousand, four hundred".