415601360 has 40 divisors (see below), whose sum is σ = 971890920. Its totient is φ = 165274112.

The previous prime is 415601341. The next prime is 415601371. The reversal of 415601360 is 63106514.

It can be written as a sum of positive squares in 4 ways, for example, as 253701184 + 161900176 = 15928^2 + 12724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 1175 + ... + 28854.

It is an arithmetic number, because the mean of its divisors is an integer number (24297273).

Almost surely, 2^415601360 is an apocalyptic number.

415601360 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 415601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485945460).

415601360 is an abundant number, since it is smaller than the sum of its proper divisors (556289560).

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

415601360 is a wasteful number, since it uses less digits than its factorization.

415601360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30215 (or 30209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 415601360 is about 20386.3032450712. The cubic root of 415601360 is about 746.2637051168.

Adding to 415601360 its reverse (63106514), we get a palindrome (478707874).

The spelling of 415601360 in words is "four hundred fifteen million, six hundred one thousand, three hundred sixty".