409572 has 36 divisors (see below), whose sum is σ = 1071616. Its totient is φ = 131760.

The previous prime is 409543. The next prime is 409573. The reversal of 409572 is 275904.

409572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409573) by changing a digit.

409572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 933 + ... + 1299.

2⁴⁰⁹⁵⁷² 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 409572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535808).

409572 is an abundant number, since it is smaller than the sum of its proper divisors (662044).

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

409572 is a wasteful number, since it uses less digits than its factorization.

409572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 409572 is about 639.9781246261. The cubic root of 409572 is about 74.2637290533.

The spelling of 409572 in words is "four hundred nine thousand, five hundred seventy-two".