415224461 has 16 divisors (see below), whose sum is σ = 447759360. Its totient is φ = 383811120.

The previous prime is 415224457. The next prime is 415224463. The reversal of 415224461 is 164422514.

It is a cyclic number.

It is not a de Polignac number, because 415224461 - 2² = 415224457 is a prime.

It is a super-3 number, since 3×415224461³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415224463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437990 + ... + 438936.

It is an arithmetic number, because the mean of its divisors is an integer number (27984960).

Almost surely, 2^415224461 is an apocalyptic number.

It is an amenable number.

415224461 is a deficient number, since it is larger than the sum of its proper divisors (32534899).

415224461 is a wasteful number, since it uses less digits than its factorization.

415224461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504.

The product of its digits is 7680, while the sum is 29.

The square root of 415224461 is about 20377.0572212967. The cubic root of 415224461 is about 746.0380472800.

Adding to 415224461 its reverse (164422514), we get a palindrome (579646975).

The spelling of 415224461 in words is "four hundred fifteen million, two hundred twenty-four thousand, four hundred sixty-one".