820419405 has 64 divisors (see below), whose sum is σ = 1503048960. Its totient is φ = 378556416.

The previous prime is 820419401. The next prime is 820419419. The reversal of 820419405 is 504914028.

It is not a de Polignac number, because 820419405 - 2² = 820419401 is a prime.

It is a super-4 number, since 4×820419405⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820419401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256059 + ... + 1256711.

It is an arithmetic number, because the mean of its divisors is an integer number (23485140).

Almost surely, 2^820419405 is an apocalyptic number.

820419405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

820419405 is a deficient number, since it is larger than the sum of its proper divisors (682629555).

820419405 is a wasteful number, since it uses less digits than its factorization.

820419405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 820419405 is about 28642.9643193577. The cubic root of 820419405 is about 936.1497119262.

The spelling of 820419405 in words is "eight hundred twenty million, four hundred nineteen thousand, four hundred five".