414079560 has 128 divisors (see below), whose sum is σ = 1384905600. Its totient is φ = 110050560.

The previous prime is 414079537. The next prime is 414079607. The reversal of 414079560 is 65970414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503950 + ... + 504770.

It is an arithmetic number, because the mean of its divisors is an integer number (10819575).

Almost surely, 2^414079560 is an apocalyptic number.

414079560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414079560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692452800).

414079560 is an abundant number, since it is smaller than the sum of its proper divisors (970826040).

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

414079560 is a wasteful number, since it uses less digits than its factorization.

414079560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 414079560 is about 20348.9449357946. The cubic root of 414079560 is about 745.3517309756.

The spelling of 414079560 in words is "four hundred fourteen million, seventy-nine thousand, five hundred sixty".