415920672 has 72 divisors (see below), whose sum is σ = 1207979136. Its totient is φ = 135686016.

The previous prime is 415920671. The next prime is 415920709. The reversal of 415920672 is 276029514.

415920672 is a `hidden beast` number, since 4 + 1 + 592 + 0 + 67 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415920671) 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 11 ways as a sum of consecutive naturals, for example, 1828 + ... + 28899.

It is an arithmetic number, because the mean of its divisors is an integer number (16777488).

Almost surely, 2^415920672 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 415920672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603989568).

415920672 is an abundant number, since it is smaller than the sum of its proper divisors (792058464).

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

415920672 is a wasteful number, since it uses less digits than its factorization.

415920672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30790 (or 30779 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 415920672 is about 20394.1332740570. The cubic root of 415920672 is about 746.4547776026.

The spelling of 415920672 in words is "four hundred fifteen million, nine hundred twenty thousand, six hundred seventy-two".