441424368 has 240 divisors, whose sum is σ = 1579398912. Its totient is φ = 111744000.

The previous prime is 441424367. The next prime is 441424411. The reversal of 441424368 is 863424144.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441424367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454123 + ... + 455093.

Almost surely, 2^441424368 is an apocalyptic number.

441424368 is a gapful number since it is divisible by the number (48) 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 441424368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789699456).

441424368 is an abundant number, since it is smaller than the sum of its proper divisors (1137974544).

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

441424368 is a wasteful number, since it uses less digits than its factorization.

441424368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 441424368 is about 21010.1015704351. The cubic root of 441424368 is about 761.4103359686.

It can be divided in two parts, 4414 and 24368, that added together give a palindrome (28782).

The spelling of 441424368 in words is "four hundred forty-one million, four hundred twenty-four thousand, three hundred sixty-eight".