419697920 has 36 divisors (see below), whose sum is σ = 1005310740. Its totient is φ = 167878656.

The previous prime is 419697917. The next prime is 419697961. The reversal of 419697920 is 29796914.

It can be written as a sum of positive squares in 2 ways, for example, as 284394496 + 135303424 = 16864^2 + 11632^2 .

It is a super-2 number, since 2×419697920² = 352292688104652800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162665 + ... + 165224.

Almost surely, 2^419697920 is an apocalyptic number.

419697920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419697920 is an abundant number, since it is smaller than the sum of its proper divisors (585612820).

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

419697920 is an equidigital number, since it uses as much as digits as its factorization.

419697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327910 (or 327896 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 419697920 is about 20486.5302088958. The cubic root of 419697920 is about 748.7076529163.

The spelling of 419697920 in words is "four hundred nineteen million, six hundred ninety-seven thousand, nine hundred twenty".