416481 has 16 divisors (see below), whose sum is σ = 611520. Its totient is φ = 250560.

The previous prime is 416477. The next prime is 416491. The reversal of 416481 is 184614.

It is not a de Polignac number, because 416481 - 2² = 416477 is a prime.

It is a super-2 number, since 2×416481² = 346912846722, which contains 22 as substring.

Its product of digits (768) is a multiple of the sum of its prime divisors (256).

416481 is a modest number, since divided by 481 gives 416 as remainder.

It is a Curzon number.

416481 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁴¹⁶⁴⁸¹ is an apocalyptic number.

It is an amenable number.

416481 is a deficient number, since it is larger than the sum of its proper divisors (195039).

416481 is a wasteful number, since it uses less digits than its factorization.

416481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its digits is 768, while the sum is 24.

The square root of 416481 is about 645.3533915616. The cubic root of 416481 is about 74.6789834946.

The spelling of 416481 in words is "four hundred sixteen thousand, four hundred eighty-one".