413280 has 144 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 92160.

The previous prime is 413267. The next prime is 413293. The reversal of 413280 is 82314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413267) and next prime (413293).

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

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

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10060 + ... + 10100.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2⁴¹³²⁸⁰ is an apocalyptic number.

413280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

413280 is an abundant number, since it is smaller than the sum of its proper divisors (1237824).

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

413280 is a wasteful number, since it uses less digits than its factorization.

413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413280 is about 642.8685713270. The cubic root of 413280 is about 74.4871680375.

Adding to 413280 its reverse (82314), we get a palindrome (495594).

It can be divided in two parts, 41 and 3280, that added together give a triangular number (3321 = T₈₁).

The spelling of 413280 in words is "four hundred thirteen thousand, two hundred eighty".