441513000 has 96 divisors (see below), whose sum is σ = 1492344360. Its totient is φ = 117734400.

The previous prime is 441512999. The next prime is 441513029. The reversal of 441513000 is 315144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 201696804 + 239816196 = 14202^2 + 15486^2 .

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

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, 15529 + ... + 33528.

Almost surely, 2^441513000 is an apocalyptic number.

441513000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441513000 is an abundant number, since it is smaller than the sum of its proper divisors (1050831360).

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

441513000 is a wasteful number, since it uses less digits than its factorization.

441513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49084 (or 49067 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 441513000 is about 21012.2107356651. The cubic root of 441513000 is about 761.4612928328.

Adding to 441513000 its reverse (315144), we get a palindrome (441828144).

The spelling of 441513000 in words is "four hundred forty-one million, five hundred thirteen thousand".