415660032 has 96 divisors (see below), whose sum is σ = 1231448400. Its totient is φ = 138534912.

The previous prime is 415659949. The next prime is 415660033. The reversal of 415660032 is 230066514.

415660032 is a `hidden beast` number, since 4 + 1 + 56 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 415659978 and 415660005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415660033) 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, 51538 + ... + 59054.

Almost surely, 2^415660032 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 415660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615724200).

415660032 is an abundant number, since it is smaller than the sum of its proper divisors (815788368).

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

415660032 is an equidigital number, since it uses as much as digits as its factorization.

415660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 415660032 is about 20387.7421996650. The cubic root of 415660032 is about 746.2988210781.

The spelling of 415660032 in words is "four hundred fifteen million, six hundred sixty thousand, thirty-two".