412579072 has 72 divisors (see below), whose sum is σ = 872869760. Its totient is φ = 194088960.

The previous prime is 412579067. The next prime is 412579073. The reversal of 412579072 is 270975214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412579073) 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, 1317988 + ... + 1318300.

Almost surely, 2^412579072 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 412579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436434880).

412579072 is an abundant number, since it is smaller than the sum of its proper divisors (460290688).

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

412579072 is a wasteful number, since it uses less digits than its factorization.

412579072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 412579072 is about 20312.0425363871. The cubic root of 412579072 is about 744.4503382189.

The spelling of 412579072 in words is "four hundred twelve million, five hundred seventy-nine thousand, seventy-two".