415100160 has 144 divisors (see below), whose sum is σ = 1473151680. Its totient is φ = 110684160.

The previous prime is 415100141. The next prime is 415100167. The reversal of 415100160 is 61001514.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415100167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28555 + ... + 40565.

It is an arithmetic number, because the mean of its divisors is an integer number (10230220).

Almost surely, 2^415100160 is an apocalyptic number.

415100160 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 415100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840).

415100160 is an abundant number, since it is smaller than the sum of its proper divisors (1058051520).

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

415100160 is a wasteful number, since it uses less digits than its factorization.

415100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12041 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 415100160 is about 20374.0069696660. The cubic root of 415100160 is about 745.9635955564.

Adding to 415100160 its reverse (61001514), we get a palindrome (476101674).

The spelling of 415100160 in words is "four hundred fifteen million, one hundred thousand, one hundred sixty".