574608672 has 144 divisors (see below), whose sum is σ = 1798524000. Its totient is φ = 174007680.

The previous prime is 574608649. The next prime is 574608673. The reversal of 574608672 is 276806475.

574608672 is a `hidden beast` number, since 574 + 6 + 0 + 8 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (574608673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382579 + ... + 384077.

It is an arithmetic number, because the mean of its divisors is an integer number (12489750).

Almost surely, 2^574608672 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 574608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899262000).

574608672 is an abundant number, since it is smaller than the sum of its proper divisors (1223915328).

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

574608672 is a wasteful number, since it uses less digits than its factorization.

574608672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 574608672 is about 23970.9964749069. The cubic root of 574608672 is about 831.3630634307.

The spelling of 574608672 in words is "five hundred seventy-four million, six hundred eight thousand, six hundred seventy-two".