413478 has 64 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 116640.

The previous prime is 413477. The next prime is 413521. The reversal of 413478 is 874314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13323 + ... + 13353.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2⁴¹³⁴⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537600).

413478 is an abundant number, since it is smaller than the sum of its proper divisors (661722).

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

413478 is a wasteful number, since it uses less digits than its factorization.

413478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 413478 is about 643.0225501489. The cubic root of 413478 is about 74.4990615920.

The spelling of 413478 in words is "four hundred thirteen thousand, four hundred seventy-eight".