414760560 has 160 divisors (see below), whose sum is σ = 1385268480. Its totient is φ = 102273024.

The previous prime is 414760531. The next prime is 414760561. The reversal of 414760560 is 65067414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414760561) 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, 239859 + ... + 241581.

It is an arithmetic number, because the mean of its divisors is an integer number (8657928).

Almost surely, 2^414760560 is an apocalyptic number.

414760560 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 414760560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692634240).

414760560 is an abundant number, since it is smaller than the sum of its proper divisors (970507920).

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

414760560 is a wasteful number, since it uses less digits than its factorization.

414760560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 414760560 is about 20365.6711158754. The cubic root of 414760560 is about 745.7601118537.

The spelling of 414760560 in words is "four hundred fourteen million, seven hundred sixty thousand, five hundred sixty".