408211272 has 64 divisors (see below), whose sum is σ = 1295913600. Its totient is φ = 116631360.

The previous prime is 408211261. The next prime is 408211289. The reversal of 408211272 is 272112804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133479 + ... + 136502.

It is an arithmetic number, because the mean of its divisors is an integer number (20248650).

Almost surely, 2^408211272 is an apocalyptic number.

408211272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

408211272 is an abundant number, since it is smaller than the sum of its proper divisors (887702328).

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

408211272 is a wasteful number, since it uses less digits than its factorization.

408211272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270003 (or 269993 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 408211272 is about 20204.2389611685. The cubic root of 408211272 is about 741.8139525750.

The spelling of 408211272 in words is "four hundred eight million, two hundred eleven thousand, two hundred seventy-two".