408280496226304 has 135 divisors (see below), whose sum is σ = 884250934346073. Its totient is φ = 188421633933312.

The previous prime is 408280496226301. The next prime is 408280496226353. The reversal of 408280496226304 is 403622694082804.

The square root of 408280496226304 is 20205952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60396523110400 + 347883973115904 = 7771520^2 + 18651648^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408280496226301) 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 8 ways as a sum of consecutive naturals, for example, 33622698057 + ... + 33622710199.

Almost surely, 2^{408280496226304} is an apocalyptic number.

408280496226304 is the 20205952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408280496226304

408280496226304 is an abundant number, since it is smaller than the sum of its proper divisors (475970438119769).

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

408280496226304 is an frugal number, since it uses more digits than its factorization.

408280496226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24340 (or 12158 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 58.

The spelling of 408280496226304 in words is "four hundred eight trillion, two hundred eighty billion, four hundred ninety-six million, two hundred twenty-six thousand, three hundred four".