441142560 has 72 divisors (see below), whose sum is σ = 1505403900. Its totient is φ = 117637632.

The previous prime is 441142531. The next prime is 441142573. The reversal of 441142560 is 65241144.

It can be written as a sum of positive squares in 2 ways, for example, as 440496144 + 646416 = 20988^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151735 + ... + 154614.

Almost surely, 2^441142560 is an apocalyptic number.

441142560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441142560 is an abundant number, since it is smaller than the sum of its proper divisors (1064261340).

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

441142560 is a wasteful number, since it uses less digits than its factorization.

441142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306370 (or 306359 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 441142560 is about 21003.3940114449. The cubic root of 441142560 is about 761.2482718137.

It can be divided in two parts, 4411 and 42560, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 441142560 in words is "four hundred forty-one million, one hundred forty-two thousand, five hundred sixty".