415121080 has 64 divisors (see below), whose sum is σ = 1054101600. Its totient is φ = 145743360.

The previous prime is 415121071. The next prime is 415121107. The reversal of 415121080 is 80121514.

415121080 = T₂₃₂₀ + T₂₃₂₁ + ... + T₂₄₆₄.

It is a super-2 number, since 2×415121080² = 344651022120732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3507 + ... + 29026.

Almost surely, 2^415121080 is an apocalyptic number.

415121080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415121080 is an abundant number, since it is smaller than the sum of its proper divisors (638980520).

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

415121080 is a wasteful number, since it uses less digits than its factorization.

415121080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32584 (or 32580 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 415121080 is about 20374.5203624527. The cubic root of 415121080 is about 745.9761269065.

Adding to 415121080 its reverse (80121514), we get a palindrome (495242594).

The spelling of 415121080 in words is "four hundred fifteen million, one hundred twenty-one thousand, eighty".