416484 has 36 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 132528.

The previous prime is 416477. The next prime is 416491. The reversal of 416484 is 484614.

It is an interprime number because it is at equal distance from previous prime (416477) and next prime (416491).

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

It is an unprimeable number.

416484 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, 577 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁴¹⁶⁴⁸⁴ 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 416484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

416484 is an abundant number, since it is smaller than the sum of its proper divisors (684252).

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

416484 is a wasteful number, since it uses less digits than its factorization.

416484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 416484 is about 645.3557158653. The cubic root of 416484 is about 74.6791628037.

It can be divided in two parts, 416 and 484, that added together give a square (900 = 30²).

The spelling of 416484 in words is "four hundred sixteen thousand, four hundred eighty-four".