415032012 has 120 divisors (see below), whose sum is σ = 1124138400. Its totient is φ = 133436160.

The previous prime is 415031993. The next prime is 415032031. The reversal of 415032012 is 210230514.

It is an interprime number because it is at equal distance from previous prime (415031993) and next prime (415032031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2085489 + ... + 2085687.

It is an arithmetic number, because the mean of its divisors is an integer number (9367820).

Almost surely, 2^415032012 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 415032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562069200).

415032012 is an abundant number, since it is smaller than the sum of its proper divisors (709106388).

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

415032012 is a wasteful number, since it uses less digits than its factorization.

415032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 415032012 is about 20372.3344759505. The cubic root of 415032012 is about 745.9227711047.

Adding to 415032012 its reverse (210230514), we get a palindrome (625262526).

The spelling of 415032012 in words is "four hundred fifteen million, thirty-two thousand, twelve".