415580160 has 240 divisors, whose sum is σ = 1415534400. Its totient is φ = 103809024.

The previous prime is 415580153. The next prime is 415580161. The reversal of 415580160 is 61085514.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415580161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4669396 + ... + 4669484.

It is an arithmetic number, because the mean of its divisors is an integer number (5898060).

Almost surely, 2^415580160 is an apocalyptic number.

415580160 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 415580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707767200).

415580160 is an abundant number, since it is smaller than the sum of its proper divisors (999954240).

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

415580160 is an equidigital number, since it uses as much as digits as its factorization.

415580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 415580160 is about 20385.7832814930. The cubic root of 415580160 is about 746.2510158259.

The spelling of 415580160 in words is "four hundred fifteen million, five hundred eighty thousand, one hundred sixty".