410472 has 24 divisors (see below), whose sum is σ = 1111890. Its totient is φ = 136800.

The previous prime is 410461. The next prime is 410477. The reversal of 410472 is 274014.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 125316 = 534^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (410477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2779 + ... + 2922.

2⁴¹⁰⁴⁷² is an apocalyptic number.

It is an amenable number.

410472 is an abundant number, since it is smaller than the sum of its proper divisors (701418).

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

410472 is a wasteful number, since it uses less digits than its factorization.

410472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 410472 is about 640.6808878061. The cubic root of 410472 is about 74.3180853564.

Adding to 410472 its reverse (274014), we get a palindrome (684486).

The spelling of 410472 in words is "four hundred ten thousand, four hundred seventy-two", and thus it is an iban number.