441206120 has 32 divisors (see below), whose sum is σ = 994419720. Its totient is φ = 176179200.

The previous prime is 441206113. The next prime is 441206131. The reversal of 441206120 is 21602144.

It can be written as a sum of positive squares in 4 ways, for example, as 304362916 + 136843204 = 17446^2 + 11698^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 441206092 and 441206101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14864 + ... + 33216.

Almost surely, 2^441206120 is an apocalyptic number.

441206120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441206120 is an abundant number, since it is smaller than the sum of its proper divisors (553213600).

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

441206120 is a wasteful number, since it uses less digits than its factorization.

441206120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18965 (or 18961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 441206120 is about 21004.9070457358. The cubic root of 441206120 is about 761.2848303785.

Adding to 441206120 its reverse (21602144), we get a palindrome (462808264).

The spelling of 441206120 in words is "four hundred forty-one million, two hundred six thousand, one hundred twenty".