416220819 has 16 divisors (see below), whose sum is σ = 646209792. Its totient is φ = 233352288.

The previous prime is 416220797. The next prime is 416220829. The reversal of 416220819 is 918022614.

It is not a de Polignac number, because 416220819 - 2¹⁹ = 415696531 is a prime.

It is a super-2 number, since 2×416220819² = 346479540338061522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 416220819.

It is not an unprimeable number, because it can be changed into a prime (416220829) 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, 185869 + ... + 188094.

It is an arithmetic number, because the mean of its divisors is an integer number (40388112).

Almost surely, 2^416220819 is an apocalyptic number.

416220819 is a deficient number, since it is larger than the sum of its proper divisors (229988973).

416220819 is a wasteful number, since it uses less digits than its factorization.

416220819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374026.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 416220819 is about 20401.4906073061. The cubic root of 416220819 is about 746.6342928362.

The spelling of 416220819 in words is "four hundred sixteen million, two hundred twenty thousand, eight hundred nineteen".