415555140 has 576 divisors, whose sum is σ = 1711729152. Its totient is φ = 72990720.

The previous prime is 415555121. The next prime is 415555141. The reversal of 415555140 is 41555514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 415555098 and 415555107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415555141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11231202 + ... + 11231238.

It is an arithmetic number, because the mean of its divisors is an integer number (2971752).

Almost surely, 2^415555140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415555140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855864576).

415555140 is an abundant number, since it is smaller than the sum of its proper divisors (1296174012).

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

415555140 is a wasteful number, since it uses less digits than its factorization.

415555140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 415555140 is about 20385.1696093018. The cubic root of 415555140 is about 746.2360395134.

It can be divided in two parts, 4155 and 55140, that added together give a palindrome (59295).

The spelling of 415555140 in words is "four hundred fifteen million, five hundred fifty-five thousand, one hundred forty".