441151620 has 192 divisors, whose sum is σ = 1556459520. Its totient is φ = 90865152.

The previous prime is 441151603. The next prime is 441151621. The reversal of 441151620 is 26151144.

It is a happy number.

It is a super-2 number, since 2×441151620² = 389229503657248800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441151621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233841 + ... + 235719.

It is an arithmetic number, because the mean of its divisors is an integer number (8106560).

Almost surely, 2^441151620 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 441151620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778229760).

441151620 is an abundant number, since it is smaller than the sum of its proper divisors (1115307900).

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

441151620 is a wasteful number, since it uses less digits than its factorization.

441151620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 441151620 is about 21003.6096897652. The cubic root of 441151620 is about 761.2534831768.

The spelling of 441151620 in words is "four hundred forty-one million, one hundred fifty-one thousand, six hundred twenty".