408428223948 has 72 divisors (see below), whose sum is σ = 1096125331392. Its totient is φ = 127785134592.

The previous prime is 408428223943. The next prime is 408428223949. The reversal of 408428223948 is 849322824804.

408428223948 is a `hidden beast` number, since 408 + 4 + 2 + 8 + 223 + 9 + 4 + 8 = 666.

It is a super-2 number, since 2×408428223948² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 408428223894 and 408428223903.

It is not an unprimeable number, because it can be changed into a prime (408428223943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684615 + ... + 1133822.

It is an arithmetic number, because the mean of its divisors is an integer number (15223962936).

Almost surely, 2^408428223948 is an apocalyptic number.

It is an amenable number.

408428223948 is an abundant number, since it is smaller than the sum of its proper divisors (687697107444).

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

408428223948 is a wasteful number, since it uses less digits than its factorization.

408428223948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818831 (or 1818826 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 408428223948 in words is "four hundred eight billion, four hundred twenty-eight million, two hundred twenty-three thousand, nine hundred forty-eight".