441534240 has 480 divisors, whose sum is σ = 1850010624. Its totient is φ = 97044480.

The previous prime is 441534211. The next prime is 441534241. The reversal of 441534240 is 42435144.

It is a happy number.

441534240 is a `hidden beast` number, since 4 + 415 + 3 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441534241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812242 + ... + 2812398.

Almost surely, 2^441534240 is an apocalyptic number.

441534240 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 441534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925005312).

441534240 is an abundant number, since it is smaller than the sum of its proper divisors (1408476384).

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

441534240 is a wasteful number, since it uses less digits than its factorization.

441534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 441534240 is about 21012.7161499888. The cubic root of 441534240 is about 761.4735032535.

Adding to 441534240 its reverse (42435144), we get a palindrome (483969384).

The spelling of 441534240 in words is "four hundred forty-one million, five hundred thirty-four thousand, two hundred forty".