419961321 has 16 divisors (see below), whose sum is σ = 670024320. Its totient is φ = 258437520.

The previous prime is 419961287. The next prime is 419961323. The reversal of 419961321 is 123169914.

It is a happy number.

419961321 is a `hidden beast` number, since 4 + 19 + 9 + 613 + 21 = 666.

It is not a de Polignac number, because 419961321 - 2⁷ = 419961193 is a prime.

It is a super-2 number, since 2×419961321² = 352735022272130082, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (419961323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597885 + ... + 598586.

It is an arithmetic number, because the mean of its divisors is an integer number (41876520).

Almost surely, 2^419961321 is an apocalyptic number.

It is an amenable number.

419961321 is a deficient number, since it is larger than the sum of its proper divisors (250062999).

419961321 is a wasteful number, since it uses less digits than its factorization.

419961321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196493 (or 1196487 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 419961321 is about 20492.9578392188. The cubic root of 419961321 is about 748.8642489609.

The spelling of 419961321 in words is "four hundred nineteen million, nine hundred sixty-one thousand, three hundred twenty-one".