414421461 has 32 divisors (see below), whose sum is σ = 652734720. Its totient is φ = 258964992.

The previous prime is 414421457. The next prime is 414421507. The reversal of 414421461 is 164124414.

It is not a de Polignac number, because 414421461 - 2² = 414421457 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414421421) 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, 119001 + ... + 122433.

It is an arithmetic number, because the mean of its divisors is an integer number (20397960).

Almost surely, 2^414421461 is an apocalyptic number.

It is an amenable number.

414421461 is a deficient number, since it is larger than the sum of its proper divisors (238313259).

414421461 is a wasteful number, since it uses less digits than its factorization.

414421461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3716 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 414421461 is about 20357.3441538920. The cubic root of 414421461 is about 745.5568174858.

Adding to 414421461 its reverse (164124414), we get a palindrome (578545875).

It can be divided in two parts, 414 and 421461, that added together give a cube (421875 = 75³).

The spelling of 414421461 in words is "four hundred fourteen million, four hundred twenty-one thousand, four hundred sixty-one".