420793016 has 64 divisors (see below), whose sum is σ = 941457600. Its totient is φ = 172505088.

The previous prime is 420793013. The next prime is 420793033. The reversal of 420793016 is 610397024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420793013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 182366 + ... + 184658.

It is an arithmetic number, because the mean of its divisors is an integer number (14710275).

Almost surely, 2^420793016 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 420793016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470728800).

420793016 is an abundant number, since it is smaller than the sum of its proper divisors (520664584).

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

420793016 is a wasteful number, since it uses less digits than its factorization.

420793016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 420793016 is about 20513.2400171206. The cubic root of 420793016 is about 749.3582753722.

The spelling of 420793016 in words is "four hundred twenty million, seven hundred ninety-three thousand, sixteen".