416790 has 48 divisors (see below), whose sum is σ = 1184976. Its totient is φ = 100800.

The previous prime is 416761. The next prime is 416797. The reversal of 416790 is 97614.

416790 = 111² + 112² + ... + 137².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (24687).

2⁴¹⁶⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592488).

416790 is an abundant number, since it is smaller than the sum of its proper divisors (768186).

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

416790 is a wasteful number, since it uses less digits than its factorization.

416790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 416790 is about 645.5927508887. The cubic root of 416790 is about 74.6974478034.

The spelling of 416790 in words is "four hundred sixteen thousand, seven hundred ninety".