415584672 has 96 divisors (see below), whose sum is σ = 1117670400. Its totient is φ = 135168768.

The previous prime is 415584671. The next prime is 415584727. The reversal of 415584672 is 276485514.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (415584671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353543 + ... + 1353849.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2^415584672 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 415584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

415584672 is an abundant number, since it is smaller than the sum of its proper divisors (702085728).

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

415584672 is a wasteful number, since it uses less digits than its factorization.

415584672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 415584672 is about 20385.8939465504. The cubic root of 415584672 is about 746.2537165262.

The spelling of 415584672 in words is "four hundred fifteen million, five hundred eighty-four thousand, six hundred seventy-two".