415440441 has 32 divisors (see below), whose sum is σ = 701809920. Its totient is φ = 240613632.

The previous prime is 415440437. The next prime is 415440449. The reversal of 415440441 is 144044514.

It is not a de Polignac number, because 415440441 - 2² = 415440437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (415440449) 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, 28845 + ... + 40778.

It is an arithmetic number, because the mean of its divisors is an integer number (21931560).

Almost surely, 2^415440441 is an apocalyptic number.

It is an amenable number.

415440441 is a deficient number, since it is larger than the sum of its proper divisors (286369479).

415440441 is a wasteful number, since it uses less digits than its factorization.

415440441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69662 (or 69656 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 415440441 is about 20382.3561199386. The cubic root of 415440441 is about 746.1673760193.

Adding to 415440441 its reverse (144044514), we get a palindrome (559484955).

The spelling of 415440441 in words is "four hundred fifteen million, four hundred forty thousand, four hundred forty-one".