441426960 has 120 divisors (see below), whose sum is σ = 1596528024. Its totient is φ = 108656640.

The previous prime is 441426959. The next prime is 441426977. The reversal of 441426960 is 69624144.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 439489296 = 1392^2 + 20964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×441426960² = 389715522029683200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14221 + ... + 32940.

Almost surely, 2^441426960 is an apocalyptic number.

441426960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441426960 is an abundant number, since it is smaller than the sum of its proper divisors (1155101064).

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

441426960 is a wasteful number, since it uses less digits than its factorization.

441426960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47193 (or 47184 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 441426960 is about 21010.1632549583. The cubic root of 441426960 is about 761.4118262743.

The spelling of 441426960 in words is "four hundred forty-one million, four hundred twenty-six thousand, nine hundred sixty".