419490 has 48 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 108576.

The previous prime is 419483. The next prime is 419491. The reversal of 419490 is 94914.

419490 = T₆₁ + T₆₂ + ... + T₁₃₉.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 419490.

It is not an unprimeable number, because it can be changed into a prime (419491) by changing a digit.

419490 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 23 ways as a sum of consecutive naturals, for example, 5271 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁴¹⁹⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

419490 is an abundant number, since it is smaller than the sum of its proper divisors (703710).

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

419490 is a wasteful number, since it uses less digits than its factorization.

419490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 419490 is about 647.6804767785. The cubic root of 419490 is about 74.8583994922.

It can be divided in two parts, 419 and 490, that added together give a palindrome (909).

The spelling of 419490 in words is "four hundred nineteen thousand, four hundred ninety".