416780 has 48 divisors (see below), whose sum is σ = 1081920. Its totient is φ = 131328.

The previous prime is 416761. The next prime is 416797. The reversal of 416780 is 87614.

416780 = 241² + 242² + ... + 247².

416780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1706 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (22540).

2⁴¹⁶⁷⁸⁰ 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 416780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540960).

416780 is an abundant number, since it is smaller than the sum of its proper divisors (665140).

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

416780 is a wasteful number, since it uses less digits than its factorization.

416780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 416780 is about 645.5850060217. The cubic root of 416780 is about 74.6968503959.

The spelling of 416780 in words is "four hundred sixteen thousand, seven hundred eighty".