441435960 has 128 divisors (see below), whose sum is σ = 1681689600. Its totient is φ = 100897920.

The previous prime is 441435947. The next prime is 441435977. The reversal of 441435960 is 69534144.

It is a super-2 number, since 2×441435960² = 389731413562243200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21636 + ... + 36755.

It is an arithmetic number, because the mean of its divisors is an integer number (13138200).

Almost surely, 2^441435960 is an apocalyptic number.

441435960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441435960 is an abundant number, since it is smaller than the sum of its proper divisors (1240253640).

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

441435960 is a wasteful number, since it uses less digits than its factorization.

441435960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58418 (or 58408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 441435960 is about 21010.3774359244. The cubic root of 441435960 is about 761.4170009015.

The spelling of 441435960 in words is "four hundred forty-one million, four hundred thirty-five thousand, nine hundred sixty".