419820632 has 144 divisors (see below), whose sum is σ = 1031622480. Its totient is φ = 159519360.

The previous prime is 419820613. The next prime is 419820647. The reversal of 419820632 is 236028914.

It is a junction number, because it is equal to n+sod(n) for n = 419820592 and 419820601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2513813 + ... + 2513979.

It is an arithmetic number, because the mean of its divisors is an integer number (7164045).

Almost surely, 2^419820632 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 419820632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515811240).

419820632 is an abundant number, since it is smaller than the sum of its proper divisors (611801848).

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

419820632 is a wasteful number, since it uses less digits than its factorization.

419820632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 419820632 is about 20489.5249334874. The cubic root of 419820632 is about 748.7806152831.

The spelling of 419820632 in words is "four hundred nineteen million, eight hundred twenty thousand, six hundred thirty-two".