420984319 has 8 divisors (see below), whose sum is σ = 492314240. Its totient is φ = 352451736.

The previous prime is 420984283. The next prime is 420984359. The reversal of 420984319 is 913489024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420984319 - 2¹⁷ = 420853247 is a prime.

It is a super-2 number, since 2×420984319² = 354455593687787522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420984359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699009 + ... + 699610.

It is an arithmetic number, because the mean of its divisors is an integer number (61539280).

Almost surely, 2^420984319 is an apocalyptic number.

420984319 is a deficient number, since it is larger than the sum of its proper divisors (71329921).

420984319 is a wasteful number, since it uses less digits than its factorization.

420984319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398669.

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 420984319 is about 20517.9024025362. The cubic root of 420984319 is about 749.4718171549.

The spelling of 420984319 in words is "four hundred twenty million, nine hundred eighty-four thousand, three hundred nineteen".