415218960 has 480 divisors, whose sum is σ = 1637895168. Its totient is φ = 97044480.

The previous prime is 415218953. The next prime is 415218997. The reversal of 415218960 is 69812514.

415218960 is a `hidden beast` number, since 41 + 521 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7834294 + ... + 7834346.

Almost surely, 2^415218960 is an apocalyptic number.

415218960 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 415218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

415218960 is an abundant number, since it is smaller than the sum of its proper divisors (1222676208).

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

415218960 is a wasteful number, since it uses less digits than its factorization.

415218960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 415218960 is about 20376.9222406133. The cubic root of 415218960 is about 746.0347526977.

The spelling of 415218960 in words is "four hundred fifteen million, two hundred eighteen thousand, nine hundred sixty".