415041536 has 192 divisors, whose sum is σ = 1089728640. Its totient is φ = 153354240.

The previous prime is 415041467. The next prime is 415041541. The reversal of 415041536 is 635140514.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 415041499 and 415041508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3168191 + ... + 3168321.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^415041536 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 415041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

415041536 is an abundant number, since it is smaller than the sum of its proper divisors (674687104).

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

415041536 is a wasteful number, since it uses less digits than its factorization.

415041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 415041536 is about 20372.5682229806. The cubic root of 415041536 is about 745.9284767804.

The spelling of 415041536 in words is "four hundred fifteen million, forty-one thousand, five hundred thirty-six".