414421460 has 24 divisors (see below), whose sum is σ = 893807880. Its totient is φ = 161288064.

The previous prime is 414421457. The next prime is 414421507. The reversal of 414421460 is 64124414.

It can be written as a sum of positive squares in 4 ways, for example, as 17455684 + 396965776 = 4178^2 + 19924^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279275 + ... + 280754.

It is an arithmetic number, because the mean of its divisors is an integer number (37241995).

Almost surely, 2^414421460 is an apocalyptic number.

It is an amenable number.

414421460 is an abundant number, since it is smaller than the sum of its proper divisors (479386420).

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

414421460 is a wasteful number, since it uses less digits than its factorization.

414421460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560075 (or 560073 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 414421460 is about 20357.3441293308. The cubic root of 414421460 is about 745.5568168861.

Adding to 414421460 its reverse (64124414), we get a palindrome (478545874).

The spelling of 414421460 in words is "four hundred fourteen million, four hundred twenty-one thousand, four hundred sixty".