414909480 has 64 divisors (see below), whose sum is σ = 1317954240. Its totient is φ = 104133632.

The previous prime is 414909461. The next prime is 414909499. The reversal of 414909480 is 84909414.

It is an interprime number because it is at equal distance from previous prime (414909461) and next prime (414909499).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99654 + ... + 103733.

It is an arithmetic number, because the mean of its divisors is an integer number (20593035).

Almost surely, 2^414909480 is an apocalyptic number.

414909480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414909480 is an abundant number, since it is smaller than the sum of its proper divisors (903044760).

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

414909480 is a wasteful number, since it uses less digits than its factorization.

414909480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203418 (or 203414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 414909480 is about 20369.3269402796. The cubic root of 414909480 is about 745.8493563619.

The spelling of 414909480 in words is "four hundred fourteen million, nine hundred nine thousand, four hundred eighty".