415480032 has 72 divisors (see below), whose sum is σ = 1288942200. Its totient is φ = 125902080.

The previous prime is 415480031. The next prime is 415480033. The reversal of 415480032 is 230084514.

It is an interprime number because it is at equal distance from previous prime (415480031) and next prime (415480033).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 415479978 and 415480005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415480031) 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 11 ways as a sum of consecutive naturals, for example, 62407 + ... + 68742.

It is an arithmetic number, because the mean of its divisors is an integer number (17901975).

Almost surely, 2^415480032 is an apocalyptic number.

It is an amenable number.

415480032 is an abundant number, since it is smaller than the sum of its proper divisors (873462168).

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

415480032 is a wasteful number, since it uses less digits than its factorization.

415480032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131176 (or 131165 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415480032 is about 20383.3273044417. The cubic root of 415480032 is about 746.1910782329.

The spelling of 415480032 in words is "four hundred fifteen million, four hundred eighty thousand, thirty-two".