415403160 has 128 divisors (see below), whose sum is σ = 1328944320. Its totient is φ = 103514112.

The previous prime is 415403159. The next prime is 415403171. The reversal of 415403160 is 61304514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 415403160.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 319632 + ... + 320928.

Almost surely, 2^415403160 is an apocalyptic number.

415403160 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 415403160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664472160).

415403160 is an abundant number, since it is smaller than the sum of its proper divisors (913541160).

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

415403160 is a wasteful number, since it uses less digits than its factorization.

415403160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 415403160 is about 20381.4415584374. The cubic root of 415403160 is about 746.1450553725.

Adding to 415403160 its reverse (61304514), we get a palindrome (476707674).

The spelling of 415403160 in words is "four hundred fifteen million, four hundred three thousand, one hundred sixty".