414416460 has 24 divisors (see below), whose sum is σ = 1160366256. Its totient is φ = 110511040.

The previous prime is 414416441. The next prime is 414416473. The reversal of 414416460 is 64614414.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3453411 + ... + 3453530.

It is an arithmetic number, because the mean of its divisors is an integer number (48348594).

Almost surely, 2^414416460 is an apocalyptic number.

It is an amenable number.

414416460 is an abundant number, since it is smaller than the sum of its proper divisors (745949796).

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

414416460 is a wasteful number, since it uses less digits than its factorization.

414416460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906953 (or 6906951 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 414416460 is about 20357.2213231570. The cubic root of 414416460 is about 745.5538184900.

The spelling of 414416460 in words is "four hundred fourteen million, four hundred sixteen thousand, four hundred sixty".