415083140 has 24 divisors (see below), whose sum is σ = 874926360. Its totient is φ = 165413888.

The previous prime is 415083127. The next prime is 415083167. The reversal of 415083140 is 41380514.

It can be written as a sum of positive squares in 4 ways, for example, as 14122564 + 400960576 = 3758^2 + 20024^2 .

It is a super-2 number, since 2×415083140² = 344588026224519200, which contains 22 as substring.

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, 33197 + ... + 43956.

It is an arithmetic number, because the mean of its divisors is an integer number (36455265).

Almost surely, 2^415083140 is an apocalyptic number.

It is an amenable number.

415083140 is an abundant number, since it is smaller than the sum of its proper divisors (459843220).

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

415083140 is a wasteful number, since it uses less digits than its factorization.

415083140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77431 (or 77429 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 415083140 is about 20373.5892763156. The cubic root of 415083140 is about 745.9534000461.

The spelling of 415083140 in words is "four hundred fifteen million, eighty-three thousand, one hundred forty".