413292 has 48 divisors (see below), whose sum is σ = 1096704. Its totient is φ = 120000.

The previous prime is 413267. The next prime is 413293. The reversal of 413292 is 292314.

It is a super-3 number, since 3×413292³ = 211783563332979264, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (413293) by changing a digit.

413292 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 15 ways as a sum of consecutive naturals, for example, 4042 + ... + 4142.

It is an arithmetic number, because the mean of its divisors is an integer number (22848).

2⁴¹³²⁹² 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 413292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352).

413292 is an abundant number, since it is smaller than the sum of its proper divisors (683412).

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

413292 is a wasteful number, since it uses less digits than its factorization.

413292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 413292 is about 642.8779044266. The cubic root of 413292 is about 74.4878889671.

It can be divided in two parts, 4132 and 92, that added together give a palindrome (4224).

The spelling of 413292 in words is "four hundred thirteen thousand, two hundred ninety-two".