408419028 has 18 divisors (see below), whose sum is σ = 1032392634. Its totient is φ = 136139664.

The previous prime is 408419009. The next prime is 408419029. The reversal of 408419028 is 820914804.

It can be written as a sum of positive squares in only one way, i.e., 369331524 + 39087504 = 19218^2 + 6252^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×408419028² = 333612204864929568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11344973 = 408419028 / (4 + 0 + 8 + 4 + 1 + 9 + 0 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 408418983 and 408419001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408419029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5672451 + ... + 5672522.

Almost surely, 2^408419028 is an apocalyptic number.

It is an amenable number.

408419028 is an abundant number, since it is smaller than the sum of its proper divisors (623973606).

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

408419028 is a wasteful number, since it uses less digits than its factorization.

408419028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344983 (or 11344978 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 408419028 is about 20209.3797034941. The cubic root of 408419028 is about 741.9397780744.

The spelling of 408419028 in words is "four hundred eight million, four hundred nineteen thousand, twenty-eight".