416460 has 48 divisors (see below), whose sum is σ = 1274112. Its totient is φ = 100800.

The previous prime is 416459. The next prime is 416473. The reversal of 416460 is 64614.

416460 = T₁₁₅ + T₁₁₆ + ... + T₁₅₈.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (26544).

2⁴¹⁶⁴⁶⁰ 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 416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637056).

416460 is an abundant number, since it is smaller than the sum of its proper divisors (857652).

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

416460 is a wasteful number, since it uses less digits than its factorization.

416460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 416460 is about 645.3371212010. The cubic root of 416460 is about 74.6777283073.

It can be divided in two parts, 4164 and 60, that added together give a palindrome (4224).

The spelling of 416460 in words is "four hundred sixteen thousand, four hundred sixty".