415072032 has 48 divisors (see below), whose sum is σ = 1095316992. Its totient is φ = 137626880.

The previous prime is 415072013. The next prime is 415072033. The reversal of 415072032 is 230270514.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 415071993 and 415072011.

It is not an unprimeable number, because it can be changed into a prime (415072033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7018 + ... + 29654.

It is an arithmetic number, because the mean of its divisors is an integer number (22819104).

Almost surely, 2^415072032 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 415072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547658496).

415072032 is an abundant number, since it is smaller than the sum of its proper divisors (680244960).

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

415072032 is a wasteful number, since it uses less digits than its factorization.

415072032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22841 (or 22833 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 415072032 is about 20373.3166666598. The cubic root of 415072032 is about 745.9467458577.

The spelling of 415072032 in words is "four hundred fifteen million, seventy-two thousand, thirty-two".