441977040 has 160 divisors (see below), whose sum is σ = 1543770240. Its totient is φ = 116204544.

The previous prime is 441977027. The next prime is 441977047. The reversal of 441977040 is 40779144.

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

It is a junction number, because it is equal to n+sod(n) for n = 441976986 and 441977004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441977047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156279 + ... + 159081.

It is an arithmetic number, because the mean of its divisors is an integer number (9648564).

Almost surely, 2^441977040 is an apocalyptic number.

441977040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

441977040 is the 10512-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771885120).

441977040 is an abundant number, since it is smaller than the sum of its proper divisors (1101793200).

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

441977040 is a wasteful number, since it uses less digits than its factorization.

441977040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 441977040 is about 21023.2499866220. The cubic root of 441977040 is about 761.7279703547.

The spelling of 441977040 in words is "four hundred forty-one million, nine hundred seventy-seven thousand, forty".